7(x)+13=10(x)-42

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Solution for 7(x)+13=10(x)-42 equation: 


Simplifying
7(x) + 13 = 10(x) + -42

Reorder the terms:
13 + 7x = 10(x) + -42

Reorder the terms:
13 + 7x = -42 + 10x

Solving
13 + 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.
13 + 7x + -10x = -42 + 10x + -10x

Combine like terms: 7x + -10x = -3x
13 + -3x = -42 + 10x + -10x

Combine like terms: 10x + -10x = 0
13 + -3x = -42 + 0
13 + -3x = -42

Add '-13' to each side of the equation.
13 + -13 + -3x = -42 + -13

Combine like terms: 13 + -13 = 0
0 + -3x = -42 + -13
-3x = -42 + -13

Combine like terms: -42 + -13 = -55
-3x = -55

Divide each side by '-3'.
x = 18.33333333

Simplifying
x = 18.33333333

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