3x-56=7x+100

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Solution for 3x-56=7x+100 equation:


Simplifying
3x + -56 = 7x + 100

Reorder the terms:
-56 + 3x = 7x + 100

Reorder the terms:
-56 + 3x = 100 + 7x

Solving
-56 + 3x = 100 + 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 + 3x + -7x = 100 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-56 + -4x = 100 + 7x + -7x

Combine like terms: 7x + -7x = 0
-56 + -4x = 100 + 0
-56 + -4x = 100

Add '56' to each side of the equation.
-56 + 56 + -4x = 100 + 56

Combine like terms: -56 + 56 = 0
0 + -4x = 100 + 56
-4x = 100 + 56

Combine like terms: 100 + 56 = 156
-4x = 156

Divide each side by '-4'.
x = -39

Simplifying
x = -39

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