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

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


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

Reorder the terms:
6(-5 + 2x) = -3(7 + -3x) + 2x
(-5 * 6 + 2x * 6) = -3(7 + -3x) + 2x
(-30 + 12x) = -3(7 + -3x) + 2x
-30 + 12x = (7 * -3 + -3x * -3) + 2x
-30 + 12x = (-21 + 9x) + 2x

Combine like terms: 9x + 2x = 11x
-30 + 12x = -21 + 11x

Solving
-30 + 12x = -21 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
-30 + 12x + -11x = -21 + 11x + -11x

Combine like terms: 12x + -11x = 1x
-30 + 1x = -21 + 11x + -11x

Combine like terms: 11x + -11x = 0
-30 + 1x = -21 + 0
-30 + 1x = -21

Add '30' to each side of the equation.
-30 + 30 + 1x = -21 + 30

Combine like terms: -30 + 30 = 0
0 + 1x = -21 + 30
1x = -21 + 30

Combine like terms: -21 + 30 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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