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4 votes
4 votes
-2x + 5x-9=3(x-4)-5 find X

User Jtitusj
by
2.2k points

1 Answer

19 votes
19 votes
Answer: x = 0.8


Step-by-step explanation:

Simplifying
-2x + -5x + -9 = 3(x + -4) + -5

Reorder the terms:
-9 + -2x + -5x = 3(x + -4) + -5

Combine like terms: -2x + -5x = -7x
-9 + -7x = 3(x + -4) + -5

Reorder the terms:
-9 + -7x = 3(-4 + x) + -5
-9 + -7x = (-4 * 3 + x * 3) + -5
-9 + -7x = (-12 + 3x) + -5

Reorder the terms:
-9 + -7x = -12 + -5 + 3x

Combine like terms: -12 + -5 = -17
-9 + -7x = -17 + 3x

Solving
-9 + -7x = -17 + 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.
-9 + -7x + -3x = -17 + 3x + -3x

Combine like terms: -7x + -3x = -10x
-9 + -10x = -17 + 3x + -3x

Combine like terms: 3x + -3x = 0
-9 + -10x = -17 + 0
-9 + -10x = -17

Add '9' to each side of the equation.
-9 + 9 + -10x = -17 + 9

Combine like terms: -9 + 9 = 0
0 + -10x = -17 + 9
-10x = -17 + 9

Combine like terms: -17 + 9 = -8
-10x = -8

Divide each side by '-10'.
x = 0.8
User Kanishk Panwar
by
2.7k points
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