5(x+6)=10x-7

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Solution for 5(x+6)=10x-7 equation:


Simplifying
5(x + 6) = 10x + -7

Reorder the terms:
5(6 + x) = 10x + -7
(6 * 5 + x * 5) = 10x + -7
(30 + 5x) = 10x + -7

Reorder the terms:
30 + 5x = -7 + 10x

Solving
30 + 5x = -7 + 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.
30 + 5x + -10x = -7 + 10x + -10x

Combine like terms: 5x + -10x = -5x
30 + -5x = -7 + 10x + -10x

Combine like terms: 10x + -10x = 0
30 + -5x = -7 + 0
30 + -5x = -7

Add '-30' to each side of the equation.
30 + -30 + -5x = -7 + -30

Combine like terms: 30 + -30 = 0
0 + -5x = -7 + -30
-5x = -7 + -30

Combine like terms: -7 + -30 = -37
-5x = -37

Divide each side by '-5'.
x = 7.4

Simplifying
x = 7.4

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