2(5+3x)=-7x-42

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Solution for 2(5+3x)=-7x-42 equation:


Simplifying
2(5 + 3x) = -7x + -42
(5 * 2 + 3x * 2) = -7x + -42
(10 + 6x) = -7x + -42

Reorder the terms:
10 + 6x = -42 + -7x

Solving
10 + 6x = -42 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
10 + 6x + 7x = -42 + -7x + 7x

Combine like terms: 6x + 7x = 13x
10 + 13x = -42 + -7x + 7x

Combine like terms: -7x + 7x = 0
10 + 13x = -42 + 0
10 + 13x = -42

Add '-10' to each side of the equation.
10 + -10 + 13x = -42 + -10

Combine like terms: 10 + -10 = 0
0 + 13x = -42 + -10
13x = -42 + -10

Combine like terms: -42 + -10 = -52
13x = -52

Divide each side by '13'.
x = -4

Simplifying
x = -4

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