5(x+7)=10x+12

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Solution for 5(x+7)=10x+12 equation:


Simplifying
5(x + 7) = 10x + 12

Reorder the terms:
5(7 + x) = 10x + 12
(7 * 5 + x * 5) = 10x + 12
(35 + 5x) = 10x + 12

Reorder the terms:
35 + 5x = 12 + 10x

Solving
35 + 5x = 12 + 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.
35 + 5x + -10x = 12 + 10x + -10x

Combine like terms: 5x + -10x = -5x
35 + -5x = 12 + 10x + -10x

Combine like terms: 10x + -10x = 0
35 + -5x = 12 + 0
35 + -5x = 12

Add '-35' to each side of the equation.
35 + -35 + -5x = 12 + -35

Combine like terms: 35 + -35 = 0
0 + -5x = 12 + -35
-5x = 12 + -35

Combine like terms: 12 + -35 = -23
-5x = -23

Divide each side by '-5'.
x = 4.6

Simplifying
x = 4.6

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