2(2x-4)-7=-11+6x

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Solution for 2(2x-4)-7=-11+6x equation:


Simplifying
2(2x + -4) + -7 = -11 + 6x

Reorder the terms:
2(-4 + 2x) + -7 = -11 + 6x
(-4 * 2 + 2x * 2) + -7 = -11 + 6x
(-8 + 4x) + -7 = -11 + 6x

Reorder the terms:
-8 + -7 + 4x = -11 + 6x

Combine like terms: -8 + -7 = -15
-15 + 4x = -11 + 6x

Solving
-15 + 4x = -11 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-15 + 4x + -6x = -11 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-15 + -2x = -11 + 6x + -6x

Combine like terms: 6x + -6x = 0
-15 + -2x = -11 + 0
-15 + -2x = -11

Add '15' to each side of the equation.
-15 + 15 + -2x = -11 + 15

Combine like terms: -15 + 15 = 0
0 + -2x = -11 + 15
-2x = -11 + 15

Combine like terms: -11 + 15 = 4
-2x = 4

Divide each side by '-2'.
x = -2

Simplifying
x = -2

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