4x+56=7x-7

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Solution for 4x+56=7x-7 equation:


Simplifying
4x + 56 = 7x + -7

Reorder the terms:
56 + 4x = 7x + -7

Reorder the terms:
56 + 4x = -7 + 7x

Solving
56 + 4x = -7 + 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.
56 + 4x + -7x = -7 + 7x + -7x

Combine like terms: 4x + -7x = -3x
56 + -3x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
56 + -3x = -7 + 0
56 + -3x = -7

Add '-56' to each side of the equation.
56 + -56 + -3x = -7 + -56

Combine like terms: 56 + -56 = 0
0 + -3x = -7 + -56
-3x = -7 + -56

Combine like terms: -7 + -56 = -63
-3x = -63

Divide each side by '-3'.
x = 21

Simplifying
x = 21

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