2x+53=7x+13

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Solution for 2x+53=7x+13 equation:


Simplifying
2x + 53 = 7x + 13

Reorder the terms:
53 + 2x = 7x + 13

Reorder the terms:
53 + 2x = 13 + 7x

Solving
53 + 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.
53 + 2x + -7x = 13 + 7x + -7x

Combine like terms: 2x + -7x = -5x
53 + -5x = 13 + 7x + -7x

Combine like terms: 7x + -7x = 0
53 + -5x = 13 + 0
53 + -5x = 13

Add '-53' to each side of the equation.
53 + -53 + -5x = 13 + -53

Combine like terms: 53 + -53 = 0
0 + -5x = 13 + -53
-5x = 13 + -53

Combine like terms: 13 + -53 = -40
-5x = -40

Divide each side by '-5'.
x = 8

Simplifying
x = 8

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