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

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


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

Reorder the terms:
5(-4 + x) = -4(2x + 3)
(-4 * 5 + x * 5) = -4(2x + 3)
(-20 + 5x) = -4(2x + 3)

Reorder the terms:
-20 + 5x = -4(3 + 2x)
-20 + 5x = (3 * -4 + 2x * -4)
-20 + 5x = (-12 + -8x)

Solving
-20 + 5x = -12 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-20 + 5x + 8x = -12 + -8x + 8x

Combine like terms: 5x + 8x = 13x
-20 + 13x = -12 + -8x + 8x

Combine like terms: -8x + 8x = 0
-20 + 13x = -12 + 0
-20 + 13x = -12

Add '20' to each side of the equation.
-20 + 20 + 13x = -12 + 20

Combine like terms: -20 + 20 = 0
0 + 13x = -12 + 20
13x = -12 + 20

Combine like terms: -12 + 20 = 8
13x = 8

Divide each side by '13'.
x = 0.6153846154

Simplifying
x = 0.6153846154

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