6+3(2x+2)=6-4(x+1)

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Solution for 6+3(2x+2)=6-4(x+1) equation:


Simplifying
6 + 3(2x + 2) = 6 + -4(x + 1)

Reorder the terms:
6 + 3(2 + 2x) = 6 + -4(x + 1)
6 + (2 * 3 + 2x * 3) = 6 + -4(x + 1)
6 + (6 + 6x) = 6 + -4(x + 1)

Combine like terms: 6 + 6 = 12
12 + 6x = 6 + -4(x + 1)

Reorder the terms:
12 + 6x = 6 + -4(1 + x)
12 + 6x = 6 + (1 * -4 + x * -4)
12 + 6x = 6 + (-4 + -4x)

Combine like terms: 6 + -4 = 2
12 + 6x = 2 + -4x

Solving
12 + 6x = 2 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
12 + 6x + 4x = 2 + -4x + 4x

Combine like terms: 6x + 4x = 10x
12 + 10x = 2 + -4x + 4x

Combine like terms: -4x + 4x = 0
12 + 10x = 2 + 0
12 + 10x = 2

Add '-12' to each side of the equation.
12 + -12 + 10x = 2 + -12

Combine like terms: 12 + -12 = 0
0 + 10x = 2 + -12
10x = 2 + -12

Combine like terms: 2 + -12 = -10
10x = -10

Divide each side by '10'.
x = -1

Simplifying
x = -1

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