2(x-8)=4x+3(2x-1)-11

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Solution for 2(x-8)=4x+3(2x-1)-11 equation:


Simplifying
2(x + -8) = 4x + 3(2x + -1) + -11

Reorder the terms:
2(-8 + x) = 4x + 3(2x + -1) + -11
(-8 * 2 + x * 2) = 4x + 3(2x + -1) + -11
(-16 + 2x) = 4x + 3(2x + -1) + -11

Reorder the terms:
-16 + 2x = 4x + 3(-1 + 2x) + -11
-16 + 2x = 4x + (-1 * 3 + 2x * 3) + -11
-16 + 2x = 4x + (-3 + 6x) + -11

Reorder the terms:
-16 + 2x = -3 + -11 + 4x + 6x

Combine like terms: -3 + -11 = -14
-16 + 2x = -14 + 4x + 6x

Combine like terms: 4x + 6x = 10x
-16 + 2x = -14 + 10x

Solving
-16 + 2x = -14 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-16 + 2x + -10x = -14 + 10x + -10x

Combine like terms: 2x + -10x = -8x
-16 + -8x = -14 + 10x + -10x

Combine like terms: 10x + -10x = 0
-16 + -8x = -14 + 0
-16 + -8x = -14

Add '16' to each side of the equation.
-16 + 16 + -8x = -14 + 16

Combine like terms: -16 + 16 = 0
0 + -8x = -14 + 16
-8x = -14 + 16

Combine like terms: -14 + 16 = 2
-8x = 2

Divide each side by '-8'.
x = -0.25

Simplifying
x = -0.25

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