5(-2x-1)+3=10x-42

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Solution for 5(-2x-1)+3=10x-42 equation:


Simplifying
5(-2x + -1) + 3 = 10x + -42

Reorder the terms:
5(-1 + -2x) + 3 = 10x + -42
(-1 * 5 + -2x * 5) + 3 = 10x + -42
(-5 + -10x) + 3 = 10x + -42

Reorder the terms:
-5 + 3 + -10x = 10x + -42

Combine like terms: -5 + 3 = -2
-2 + -10x = 10x + -42

Reorder the terms:
-2 + -10x = -42 + 10x

Solving
-2 + -10x = -42 + 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.
-2 + -10x + -10x = -42 + 10x + -10x

Combine like terms: -10x + -10x = -20x
-2 + -20x = -42 + 10x + -10x

Combine like terms: 10x + -10x = 0
-2 + -20x = -42 + 0
-2 + -20x = -42

Add '2' to each side of the equation.
-2 + 2 + -20x = -42 + 2

Combine like terms: -2 + 2 = 0
0 + -20x = -42 + 2
-20x = -42 + 2

Combine like terms: -42 + 2 = -40
-20x = -40

Divide each side by '-20'.
x = 2

Simplifying
x = 2

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