2(2x-11)+6=-4x+16

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Solution for 2(2x-11)+6=-4x+16 equation:


Simplifying
2(2x + -11) + 6 = -4x + 16

Reorder the terms:
2(-11 + 2x) + 6 = -4x + 16
(-11 * 2 + 2x * 2) + 6 = -4x + 16
(-22 + 4x) + 6 = -4x + 16

Reorder the terms:
-22 + 6 + 4x = -4x + 16

Combine like terms: -22 + 6 = -16
-16 + 4x = -4x + 16

Reorder the terms:
-16 + 4x = 16 + -4x

Solving
-16 + 4x = 16 + -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.
-16 + 4x + 4x = 16 + -4x + 4x

Combine like terms: 4x + 4x = 8x
-16 + 8x = 16 + -4x + 4x

Combine like terms: -4x + 4x = 0
-16 + 8x = 16 + 0
-16 + 8x = 16

Add '16' to each side of the equation.
-16 + 16 + 8x = 16 + 16

Combine like terms: -16 + 16 = 0
0 + 8x = 16 + 16
8x = 16 + 16

Combine like terms: 16 + 16 = 32
8x = 32

Divide each side by '8'.
x = 4

Simplifying
x = 4

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