-4(-5x+8)=7(-6+2x)

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Solution for -4(-5x+8)=7(-6+2x) equation:


Simplifying
-4(-5x + 8) = 7(-6 + 2x)

Reorder the terms:
-4(8 + -5x) = 7(-6 + 2x)
(8 * -4 + -5x * -4) = 7(-6 + 2x)
(-32 + 20x) = 7(-6 + 2x)
-32 + 20x = (-6 * 7 + 2x * 7)
-32 + 20x = (-42 + 14x)

Solving
-32 + 20x = -42 + 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.
-32 + 20x + -14x = -42 + 14x + -14x

Combine like terms: 20x + -14x = 6x
-32 + 6x = -42 + 14x + -14x

Combine like terms: 14x + -14x = 0
-32 + 6x = -42 + 0
-32 + 6x = -42

Add '32' to each side of the equation.
-32 + 32 + 6x = -42 + 32

Combine like terms: -32 + 32 = 0
0 + 6x = -42 + 32
6x = -42 + 32

Combine like terms: -42 + 32 = -10
6x = -10

Divide each side by '6'.
x = -1.666666667

Simplifying
x = -1.666666667

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