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4b + 2= 3b
5x-2=3x+4
Solve equations

User Petrsyn
by
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1 Answer

4 votes

Answer:

4b + 2 = 3b = -2

5x-2=3x+4 = 3

Explanation:

Simplifying

4b + 2 = 3b

Reorder the terms:

2 + 4b = 3b

Solving

2 + 4b = 3b

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-3b' to each side of the equation.

2 + 4b + -3b = 3b + -3b

Combine like terms: 4b + -3b = 1b

2 + 1b = 3b + -3b

Combine like terms: 3b + -3b = 0

2 + 1b = 0

Add '-2' to each side of the equation.

2 + -2 + 1b = 0 + -2

Combine like terms: 2 + -2 = 0

0 + 1b = 0 + -2

1b = 0 + -2

Combine like terms: 0 + -2 = -2

1b = -2

Divide each side by '1'.

b = -2

Simplifying

b = -2

=-----------------------------------------

Simplifying

5x + -2 = 3x + 4

Reorder the terms:

-2 + 5x = 3x + 4

Reorder the terms:

-2 + 5x = 4 + 3x

Solving

-2 + 5x = 4 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

-2 + 5x + -3x = 4 + 3x + -3x

Combine like terms: 5x + -3x = 2x

-2 + 2x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0

-2 + 2x = 4 + 0

-2 + 2x = 4

Add '2' to each side of the equation.

-2 + 2 + 2x = 4 + 2

Combine like terms: -2 + 2 = 0

0 + 2x = 4 + 2

2x = 4 + 2

Combine like terms: 4 + 2 = 6

2x = 6

Divide each side by '2'.

x = 3

Simplifying

x = 3

User Beaton
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4.2k points