2x+3=7x-22

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Solution for 2x+3=7x-22 equation:


Simplifying
2x + 3 = 7x + -22

Reorder the terms:
3 + 2x = 7x + -22

Reorder the terms:
3 + 2x = -22 + 7x

Solving
3 + 2x = -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.
3 + 2x + -7x = -22 + 7x + -7x

Combine like terms: 2x + -7x = -5x
3 + -5x = -22 + 7x + -7x

Combine like terms: 7x + -7x = 0
3 + -5x = -22 + 0
3 + -5x = -22

Add '-3' to each side of the equation.
3 + -3 + -5x = -22 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = -22 + -3
-5x = -22 + -3

Combine like terms: -22 + -3 = -25
-5x = -25

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

Simplifying
x = 5

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