42=2(5x-2)-4

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Solution for 42=2(5x-2)-4 equation:


Simplifying
42 = 2(5x + -2) + -4

Reorder the terms:
42 = 2(-2 + 5x) + -4
42 = (-2 * 2 + 5x * 2) + -4
42 = (-4 + 10x) + -4

Reorder the terms:
42 = -4 + -4 + 10x

Combine like terms: -4 + -4 = -8
42 = -8 + 10x

Solving
42 = -8 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
42 + -10x = -8 + 10x + -10x

Combine like terms: 10x + -10x = 0
42 + -10x = -8 + 0
42 + -10x = -8

Add '-42' to each side of the equation.
42 + -42 + -10x = -8 + -42

Combine like terms: 42 + -42 = 0
0 + -10x = -8 + -42
-10x = -8 + -42

Combine like terms: -8 + -42 = -50
-10x = -50

Divide each side by '-10'.
x = 5

Simplifying
x = 5

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