5(x+8)=4x-2

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


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

Reorder the terms:
5(8 + x) = 4x + -2
(8 * 5 + x * 5) = 4x + -2
(40 + 5x) = 4x + -2

Reorder the terms:
40 + 5x = -2 + 4x

Solving
40 + 5x = -2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
40 + 5x + -4x = -2 + 4x + -4x

Combine like terms: 5x + -4x = 1x
40 + 1x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
40 + 1x = -2 + 0
40 + 1x = -2

Add '-40' to each side of the equation.
40 + -40 + 1x = -2 + -40

Combine like terms: 40 + -40 = 0
0 + 1x = -2 + -40
1x = -2 + -40

Combine like terms: -2 + -40 = -42
1x = -42

Divide each side by '1'.
x = -42

Simplifying
x = -42

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