7x-3(2x-5)=6(2+3x)-31

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Solution for 7x-3(2x-5)=6(2+3x)-31 equation:


Simplifying
7x + -3(2x + -5) = 6(2 + 3x) + -31

Reorder the terms:
7x + -3(-5 + 2x) = 6(2 + 3x) + -31
7x + (-5 * -3 + 2x * -3) = 6(2 + 3x) + -31
7x + (15 + -6x) = 6(2 + 3x) + -31

Reorder the terms:
15 + 7x + -6x = 6(2 + 3x) + -31

Combine like terms: 7x + -6x = 1x
15 + 1x = 6(2 + 3x) + -31
15 + 1x = (2 * 6 + 3x * 6) + -31
15 + 1x = (12 + 18x) + -31

Reorder the terms:
15 + 1x = 12 + -31 + 18x

Combine like terms: 12 + -31 = -19
15 + 1x = -19 + 18x

Solving
15 + 1x = -19 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
15 + 1x + -18x = -19 + 18x + -18x

Combine like terms: 1x + -18x = -17x
15 + -17x = -19 + 18x + -18x

Combine like terms: 18x + -18x = 0
15 + -17x = -19 + 0
15 + -17x = -19

Add '-15' to each side of the equation.
15 + -15 + -17x = -19 + -15

Combine like terms: 15 + -15 = 0
0 + -17x = -19 + -15
-17x = -19 + -15

Combine like terms: -19 + -15 = -34
-17x = -34

Divide each side by '-17'.
x = 2

Simplifying
x = 2

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