7x+15=10x-42

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Solution for 7x+15=10x-42 equation:


Simplifying
7x + 15 = 10x + -42

Reorder the terms:
15 + 7x = 10x + -42

Reorder the terms:
15 + 7x = -42 + 10x

Solving
15 + 7x = -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.
15 + 7x + -10x = -42 + 10x + -10x

Combine like terms: 7x + -10x = -3x
15 + -3x = -42 + 10x + -10x

Combine like terms: 10x + -10x = 0
15 + -3x = -42 + 0
15 + -3x = -42

Add '-15' to each side of the equation.
15 + -15 + -3x = -42 + -15

Combine like terms: 15 + -15 = 0
0 + -3x = -42 + -15
-3x = -42 + -15

Combine like terms: -42 + -15 = -57
-3x = -57

Divide each side by '-3'.
x = 19

Simplifying
x = 19

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