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What is the answer to 6x+6-3(x-2)=x+4
need step by step explanation

User Pushpraj
by
4.9k points

2 Answers

3 votes
First expand the brackets -3(x-2) =-3x+6
Rewrite the equation: 6x+6-3x+6=x+4
Simplify where possible:3x+12=x+4
Solve: whatever you do on one side do it on the other
-x 3x+12=x+4 -x
2x+12=4
-12 2x =4 -12
2x=-8
/2 X=-4 /2
User Oleksandr Kravchuk
by
4.6k points
2 votes

Answer:x = -4

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

6*x+6-3*(x-2)-(x+4)=0

Step by step solution :

STEP

1

:

Equation at the end of step 1

((6x + 6) - 3 • (x - 2)) - (x + 4) = 0

STEP

2

:

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

2x + 8 = 2 • (x + 4)

Equation at the end of step

3

:

2 • (x + 4) = 0

STEP

4

:

Equations which are never true:

4.1 Solve : 2 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

4.2 Solve : x+4 = 0

Subtract 4 from both sides of the equation :

x = -4

User Michaelrccurtis
by
5.2k points