2x+13=7x-5

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Solution for 2x+13=7x-5 equation:


Simplifying
2x + 13 = 7x + -5

Reorder the terms:
13 + 2x = 7x + -5

Reorder the terms:
13 + 2x = -5 + 7x

Solving
13 + 2x = -5 + 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.
13 + 2x + -7x = -5 + 7x + -7x

Combine like terms: 2x + -7x = -5x
13 + -5x = -5 + 7x + -7x

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

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

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

Combine like terms: -5 + -13 = -18
-5x = -18

Divide each side by '-5'.
x = 3.6

Simplifying
x = 3.6

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