10x+7=5x+13

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Solution for 10x+7=5x+13 equation:


Simplifying
10x + 7 = 5x + 13

Reorder the terms:
7 + 10x = 5x + 13

Reorder the terms:
7 + 10x = 13 + 5x

Solving
7 + 10x = 13 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
7 + 10x + -5x = 13 + 5x + -5x

Combine like terms: 10x + -5x = 5x
7 + 5x = 13 + 5x + -5x

Combine like terms: 5x + -5x = 0
7 + 5x = 13 + 0
7 + 5x = 13

Add '-7' to each side of the equation.
7 + -7 + 5x = 13 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = 13 + -7
5x = 13 + -7

Combine like terms: 13 + -7 = 6
5x = 6

Divide each side by '5'.
x = 1.2

Simplifying
x = 1.2

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