4(3x-2)=5x-3(7-2x)

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Solution for 4(3x-2)=5x-3(7-2x) equation:


Simplifying
4(3x + -2) = 5x + -3(7 + -2x)

Reorder the terms:
4(-2 + 3x) = 5x + -3(7 + -2x)
(-2 * 4 + 3x * 4) = 5x + -3(7 + -2x)
(-8 + 12x) = 5x + -3(7 + -2x)
-8 + 12x = 5x + (7 * -3 + -2x * -3)
-8 + 12x = 5x + (-21 + 6x)

Reorder the terms:
-8 + 12x = -21 + 5x + 6x

Combine like terms: 5x + 6x = 11x
-8 + 12x = -21 + 11x

Solving
-8 + 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.
-8 + 12x + -11x = -21 + 11x + -11x

Combine like terms: 12x + -11x = 1x
-8 + 1x = -21 + 11x + -11x

Combine like terms: 11x + -11x = 0
-8 + 1x = -21 + 0
-8 + 1x = -21

Add '8' to each side of the equation.
-8 + 8 + 1x = -21 + 8

Combine like terms: -8 + 8 = 0
0 + 1x = -21 + 8
1x = -21 + 8

Combine like terms: -21 + 8 = -13
1x = -13

Divide each side by '1'.
x = -13

Simplifying
x = -13

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