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

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


Simplifying
5[-2(2x + 3) + 4(2x + -3)] = 0

Reorder the terms:
5[-2(3 + 2x) + 4(2x + -3)] = 0
5[(3 * -2 + 2x * -2) + 4(2x + -3)] = 0
5[(-6 + -4x) + 4(2x + -3)] = 0

Reorder the terms:
5[-6 + -4x + 4(-3 + 2x)] = 0
5[-6 + -4x + (-3 * 4 + 2x * 4)] = 0
5[-6 + -4x + (-12 + 8x)] = 0

Reorder the terms:
5[-6 + -12 + -4x + 8x] = 0

Combine like terms: -6 + -12 = -18
5[-18 + -4x + 8x] = 0

Combine like terms: -4x + 8x = 4x
5[-18 + 4x] = 0
[-18 * 5 + 4x * 5] = 0
[-90 + 20x] = 0

Solving
-90 + 20x = 0

Solving for variable 'x'.

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

Add '90' to each side of the equation.
-90 + 90 + 20x = 0 + 90

Combine like terms: -90 + 90 = 0
0 + 20x = 0 + 90
20x = 0 + 90

Combine like terms: 0 + 90 = 90
20x = 90

Divide each side by '20'.
x = 4.5

Simplifying
x = 4.5

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