6(x+2)-x=4(x+4)-7

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Solution for 6(x+2)-x=4(x+4)-7 equation: 


Simplifying
6(x + 2) + -1x = 4(x + 4) + -7

Reorder the terms:
6(2 + x) + -1x = 4(x + 4) + -7
(2 * 6 + x * 6) + -1x = 4(x + 4) + -7
(12 + 6x) + -1x = 4(x + 4) + -7

Combine like terms: 6x + -1x = 5x
12 + 5x = 4(x + 4) + -7

Reorder the terms:
12 + 5x = 4(4 + x) + -7
12 + 5x = (4 * 4 + x * 4) + -7
12 + 5x = (16 + 4x) + -7

Reorder the terms:
12 + 5x = 16 + -7 + 4x

Combine like terms: 16 + -7 = 9
12 + 5x = 9 + 4x

Solving
12 + 5x = 9 + 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 + 5x + -4x = 9 + 4x + -4x

Combine like terms: 5x + -4x = 1x
12 + 1x = 9 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + 1x = 9 + 0
12 + 1x = 9

Add '-12' to each side of the equation.
12 + -12 + 1x = 9 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = 9 + -12
1x = 9 + -12

Combine like terms: 9 + -12 = -3
1x = -3

Divide each side by '1'.
x = -3

Simplifying
x = -3

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