8x-7(2x-5)=2-3x

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Solution for 8x-7(2x-5)=2-3x equation:


Simplifying
8x + -7(2x + -5) = 2 + -3x

Reorder the terms:
8x + -7(-5 + 2x) = 2 + -3x
8x + (-5 * -7 + 2x * -7) = 2 + -3x
8x + (35 + -14x) = 2 + -3x

Reorder the terms:
35 + 8x + -14x = 2 + -3x

Combine like terms: 8x + -14x = -6x
35 + -6x = 2 + -3x

Solving
35 + -6x = 2 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
35 + -6x + 3x = 2 + -3x + 3x

Combine like terms: -6x + 3x = -3x
35 + -3x = 2 + -3x + 3x

Combine like terms: -3x + 3x = 0
35 + -3x = 2 + 0
35 + -3x = 2

Add '-35' to each side of the equation.
35 + -35 + -3x = 2 + -35

Combine like terms: 35 + -35 = 0
0 + -3x = 2 + -35
-3x = 2 + -35

Combine like terms: 2 + -35 = -33
-3x = -33

Divide each side by '-3'.
x = 11

Simplifying
x = 11

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