4(-2x+9)=-2(3x-7)

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Solution for 4(-2x+9)=-2(3x-7) equation:


Simplifying
4(-2x + 9) = -2(3x + -7)

Reorder the terms:
4(9 + -2x) = -2(3x + -7)
(9 * 4 + -2x * 4) = -2(3x + -7)
(36 + -8x) = -2(3x + -7)

Reorder the terms:
36 + -8x = -2(-7 + 3x)
36 + -8x = (-7 * -2 + 3x * -2)
36 + -8x = (14 + -6x)

Solving
36 + -8x = 14 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
36 + -8x + 6x = 14 + -6x + 6x

Combine like terms: -8x + 6x = -2x
36 + -2x = 14 + -6x + 6x

Combine like terms: -6x + 6x = 0
36 + -2x = 14 + 0
36 + -2x = 14

Add '-36' to each side of the equation.
36 + -36 + -2x = 14 + -36

Combine like terms: 36 + -36 = 0
0 + -2x = 14 + -36
-2x = 14 + -36

Combine like terms: 14 + -36 = -22
-2x = -22

Divide each side by '-2'.
x = 11

Simplifying
x = 11

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