4x+8=7x-22

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Solution for 4x+8=7x-22 equation:


Simplifying
4x + 8 = 7x + -22

Reorder the terms:
8 + 4x = 7x + -22

Reorder the terms:
8 + 4x = -22 + 7x

Solving
8 + 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.
8 + 4x + -7x = -22 + 7x + -7x

Combine like terms: 4x + -7x = -3x
8 + -3x = -22 + 7x + -7x

Combine like terms: 7x + -7x = 0
8 + -3x = -22 + 0
8 + -3x = -22

Add '-8' to each side of the equation.
8 + -8 + -3x = -22 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = -22 + -8
-3x = -22 + -8

Combine like terms: -22 + -8 = -30
-3x = -30

Divide each side by '-3'.
x = 10

Simplifying
x = 10

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