35+5x-11=-6(2-x)+8x

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Solution for 35+5x-11=-6(2-x)+8x equation:


Simplifying
35 + 5x + -11 = -6(2 + -1x) + 8x

Reorder the terms:
35 + -11 + 5x = -6(2 + -1x) + 8x

Combine like terms: 35 + -11 = 24
24 + 5x = -6(2 + -1x) + 8x
24 + 5x = (2 * -6 + -1x * -6) + 8x
24 + 5x = (-12 + 6x) + 8x

Combine like terms: 6x + 8x = 14x
24 + 5x = -12 + 14x

Solving
24 + 5x = -12 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
24 + 5x + -14x = -12 + 14x + -14x

Combine like terms: 5x + -14x = -9x
24 + -9x = -12 + 14x + -14x

Combine like terms: 14x + -14x = 0
24 + -9x = -12 + 0
24 + -9x = -12

Add '-24' to each side of the equation.
24 + -24 + -9x = -12 + -24

Combine like terms: 24 + -24 = 0
0 + -9x = -12 + -24
-9x = -12 + -24

Combine like terms: -12 + -24 = -36
-9x = -36

Divide each side by '-9'.
x = 4

Simplifying
x = 4

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