4x+15=7x-22

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Solution for 4x+15=7x-22 equation:


Simplifying
4x + 15 = 7x + -22

Reorder the terms:
15 + 4x = 7x + -22

Reorder the terms:
15 + 4x = -22 + 7x

Solving
15 + 4x = -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.
15 + 4x + -7x = -22 + 7x + -7x

Combine like terms: 4x + -7x = -3x
15 + -3x = -22 + 7x + -7x

Combine like terms: 7x + -7x = 0
15 + -3x = -22 + 0
15 + -3x = -22

Add '-15' to each side of the equation.
15 + -15 + -3x = -22 + -15

Combine like terms: 15 + -15 = 0
0 + -3x = -22 + -15
-3x = -22 + -15

Combine like terms: -22 + -15 = -37
-3x = -37

Divide each side by '-3'.
x = 12.33333333

Simplifying
x = 12.33333333

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