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

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


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

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

Combine like terms: 8x + -4x = 4x
3 + 4x = -2(x + -8) + 11

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

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

Combine like terms: 16 + 11 = 27
3 + 4x = 27 + -2x

Solving
3 + 4x = 27 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
3 + 4x + 2x = 27 + -2x + 2x

Combine like terms: 4x + 2x = 6x
3 + 6x = 27 + -2x + 2x

Combine like terms: -2x + 2x = 0
3 + 6x = 27 + 0
3 + 6x = 27

Add '-3' to each side of the equation.
3 + -3 + 6x = 27 + -3

Combine like terms: 3 + -3 = 0
0 + 6x = 27 + -3
6x = 27 + -3

Combine like terms: 27 + -3 = 24
6x = 24

Divide each side by '6'.
x = 4

Simplifying
x = 4

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