5(3x+2)-2=4(4x-30)

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Solution for 5(3x+2)-2=4(4x-30) equation:


Simplifying
5(3x + 2) + -2 = 4(4x + -30)

Reorder the terms:
5(2 + 3x) + -2 = 4(4x + -30)
(2 * 5 + 3x * 5) + -2 = 4(4x + -30)
(10 + 15x) + -2 = 4(4x + -30)

Reorder the terms:
10 + -2 + 15x = 4(4x + -30)

Combine like terms: 10 + -2 = 8
8 + 15x = 4(4x + -30)

Reorder the terms:
8 + 15x = 4(-30 + 4x)
8 + 15x = (-30 * 4 + 4x * 4)
8 + 15x = (-120 + 16x)

Solving
8 + 15x = -120 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
8 + 15x + -16x = -120 + 16x + -16x

Combine like terms: 15x + -16x = -1x
8 + -1x = -120 + 16x + -16x

Combine like terms: 16x + -16x = 0
8 + -1x = -120 + 0
8 + -1x = -120

Add '-8' to each side of the equation.
8 + -8 + -1x = -120 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = -120 + -8
-1x = -120 + -8

Combine like terms: -120 + -8 = -128
-1x = -128

Divide each side by '-1'.
x = 128

Simplifying
x = 128

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