3(2-x)=5*(2x-7)+2

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


Simplifying
3(2 + -1x) = 5(2x + -7) + 2
(2 * 3 + -1x * 3) = 5(2x + -7) + 2
(6 + -3x) = 5(2x + -7) + 2

Reorder the terms:
6 + -3x = 5(-7 + 2x) + 2
6 + -3x = (-7 * 5 + 2x * 5) + 2
6 + -3x = (-35 + 10x) + 2

Reorder the terms:
6 + -3x = -35 + 2 + 10x

Combine like terms: -35 + 2 = -33
6 + -3x = -33 + 10x

Solving
6 + -3x = -33 + 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.
6 + -3x + -10x = -33 + 10x + -10x

Combine like terms: -3x + -10x = -13x
6 + -13x = -33 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + -13x = -33 + 0
6 + -13x = -33

Add '-6' to each side of the equation.
6 + -6 + -13x = -33 + -6

Combine like terms: 6 + -6 = 0
0 + -13x = -33 + -6
-13x = -33 + -6

Combine like terms: -33 + -6 = -39
-13x = -39

Divide each side by '-13'.
x = 3

Simplifying
x = 3

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