5x-7=10x-13

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


Simplifying
5x + -7 = 10x + -13

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

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

Solving
-7 + 5x = -13 + 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.
-7 + 5x + -10x = -13 + 10x + -10x

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

Combine like terms: 10x + -10x = 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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