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

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


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

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

Combine like terms: 6x + -4x = 2x
12 + 2x = (x + 4) + 7

Reorder the terms:
12 + 2x = (4 + x) + 7

Remove parenthesis around (4 + x)
12 + 2x = 4 + x + 7

Reorder the terms:
12 + 2x = 4 + 7 + x

Combine like terms: 4 + 7 = 11
12 + 2x = 11 + x

Solving
12 + 2x = 11 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
12 + 2x + -1x = 11 + x + -1x

Combine like terms: 2x + -1x = 1x
12 + 1x = 11 + x + -1x

Combine like terms: x + -1x = 0
12 + 1x = 11 + 0
12 + 1x = 11

Add '-12' to each side of the equation.
12 + -12 + 1x = 11 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = 11 + -12
1x = 11 + -12

Combine like terms: 11 + -12 = -1
1x = -1

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

Simplifying
x = -1

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