6x+10=120-7x

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Solution for 6x+10=120-7x equation:


Simplifying
6x + 10 = 120 + -7x

Reorder the terms:
10 + 6x = 120 + -7x

Solving
10 + 6x = 120 + -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 = 120 + -7x + 7x

Combine like terms: 6x + 7x = 13x
10 + 13x = 120 + -7x + 7x

Combine like terms: -7x + 7x = 0
10 + 13x = 120 + 0
10 + 13x = 120

Add '-10' to each side of the equation.
10 + -10 + 13x = 120 + -10

Combine like terms: 10 + -10 = 0
0 + 13x = 120 + -10
13x = 120 + -10

Combine like terms: 120 + -10 = 110
13x = 110

Divide each side by '13'.
x = 8.461538462

Simplifying
x = 8.461538462

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