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

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


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

Reorder the terms:
4(4 + -5x) + -2x = -7(2x + 4)
(4 * 4 + -5x * 4) + -2x = -7(2x + 4)
(16 + -20x) + -2x = -7(2x + 4)

Combine like terms: -20x + -2x = -22x
16 + -22x = -7(2x + 4)

Reorder the terms:
16 + -22x = -7(4 + 2x)
16 + -22x = (4 * -7 + 2x * -7)
16 + -22x = (-28 + -14x)

Solving
16 + -22x = -28 + -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.
16 + -22x + 14x = -28 + -14x + 14x

Combine like terms: -22x + 14x = -8x
16 + -8x = -28 + -14x + 14x

Combine like terms: -14x + 14x = 0
16 + -8x = -28 + 0
16 + -8x = -28

Add '-16' to each side of the equation.
16 + -16 + -8x = -28 + -16

Combine like terms: 16 + -16 = 0
0 + -8x = -28 + -16
-8x = -28 + -16

Combine like terms: -28 + -16 = -44
-8x = -44

Divide each side by '-8'.
x = 5.5

Simplifying
x = 5.5

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