-4(x-3)+2x=7(-2x+5)-13

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Solution for -4(x-3)+2x=7(-2x+5)-13 equation:


Simplifying
-4(x + -3) + 2x = 7(-2x + 5) + -13

Reorder the terms:
-4(-3 + x) + 2x = 7(-2x + 5) + -13
(-3 * -4 + x * -4) + 2x = 7(-2x + 5) + -13
(12 + -4x) + 2x = 7(-2x + 5) + -13

Combine like terms: -4x + 2x = -2x
12 + -2x = 7(-2x + 5) + -13

Reorder the terms:
12 + -2x = 7(5 + -2x) + -13
12 + -2x = (5 * 7 + -2x * 7) + -13
12 + -2x = (35 + -14x) + -13

Reorder the terms:
12 + -2x = 35 + -13 + -14x

Combine like terms: 35 + -13 = 22
12 + -2x = 22 + -14x

Solving
12 + -2x = 22 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
12 + -2x + 14x = 22 + -14x + 14x

Combine like terms: -2x + 14x = 12x
12 + 12x = 22 + -14x + 14x

Combine like terms: -14x + 14x = 0
12 + 12x = 22 + 0
12 + 12x = 22

Add '-12' to each side of the equation.
12 + -12 + 12x = 22 + -12

Combine like terms: 12 + -12 = 0
0 + 12x = 22 + -12
12x = 22 + -12

Combine like terms: 22 + -12 = 10
12x = 10

Divide each side by '12'.
x = 0.8333333333

Simplifying
x = 0.8333333333

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