3x+7=4x-21

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Solution for 3x+7=4x-21 equation:


Simplifying
3x + 7 = 4x + -21

Reorder the terms:
7 + 3x = 4x + -21

Reorder the terms:
7 + 3x = -21 + 4x

Solving
7 + 3x = -21 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
7 + 3x + -4x = -21 + 4x + -4x

Combine like terms: 3x + -4x = -1x
7 + -1x = -21 + 4x + -4x

Combine like terms: 4x + -4x = 0
7 + -1x = -21 + 0
7 + -1x = -21

Add '-7' to each side of the equation.
7 + -7 + -1x = -21 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = -21 + -7
-1x = -21 + -7

Combine like terms: -21 + -7 = -28
-1x = -28

Divide each side by '-1'.
x = 28

Simplifying
x = 28

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