2x+2=7x-13

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


Simplifying
2x + 2 = 7x + -13

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

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

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

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

Combine like terms: 7x + -7x = 0
2 + -5x = -13 + 0
2 + -5x = -13

Add '-2' to each side of the equation.
2 + -2 + -5x = -13 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = -13 + -2
-5x = -13 + -2

Combine like terms: -13 + -2 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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