x+8=5(4x-6)

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


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

Reorder the terms:
8 + x = 5(4x + -6)

Reorder the terms:
8 + x = 5(-6 + 4x)
8 + x = (-6 * 5 + 4x * 5)
8 + x = (-30 + 20x)

Solving
8 + x = -30 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
8 + x + -20x = -30 + 20x + -20x

Combine like terms: x + -20x = -19x
8 + -19x = -30 + 20x + -20x

Combine like terms: 20x + -20x = 0
8 + -19x = -30 + 0
8 + -19x = -30

Add '-8' to each side of the equation.
8 + -8 + -19x = -30 + -8

Combine like terms: 8 + -8 = 0
0 + -19x = -30 + -8
-19x = -30 + -8

Combine like terms: -30 + -8 = -38
-19x = -38

Divide each side by '-19'.
x = 2

Simplifying
x = 2

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