4x+7=3x-22

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Solution for 4x+7=3x-22 equation:


Simplifying
4x + 7 = 3x + -22

Reorder the terms:
7 + 4x = 3x + -22

Reorder the terms:
7 + 4x = -22 + 3x

Solving
7 + 4x = -22 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
7 + 4x + -3x = -22 + 3x + -3x

Combine like terms: 4x + -3x = 1x
7 + 1x = -22 + 3x + -3x

Combine like terms: 3x + -3x = 0
7 + 1x = -22 + 0
7 + 1x = -22

Add '-7' to each side of the equation.
7 + -7 + 1x = -22 + -7

Combine like terms: 7 + -7 = 0
0 + 1x = -22 + -7
1x = -22 + -7

Combine like terms: -22 + -7 = -29
1x = -29

Divide each side by '1'.
x = -29

Simplifying
x = -29

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