5x+26=7x-22

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Solution for 5x+26=7x-22 equation:


Simplifying
5x + 26 = 7x + -22

Reorder the terms:
26 + 5x = 7x + -22

Reorder the terms:
26 + 5x = -22 + 7x

Solving
26 + 5x = -22 + 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.
26 + 5x + -7x = -22 + 7x + -7x

Combine like terms: 5x + -7x = -2x
26 + -2x = -22 + 7x + -7x

Combine like terms: 7x + -7x = 0
26 + -2x = -22 + 0
26 + -2x = -22

Add '-26' to each side of the equation.
26 + -26 + -2x = -22 + -26

Combine like terms: 26 + -26 = 0
0 + -2x = -22 + -26
-2x = -22 + -26

Combine like terms: -22 + -26 = -48
-2x = -48

Divide each side by '-2'.
x = 24

Simplifying
x = 24

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