7x-7=4x-40

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Solution for 7x-7=4x-40 equation:


Simplifying
7x + -7 = 4x + -40

Reorder the terms:
-7 + 7x = 4x + -40

Reorder the terms:
-7 + 7x = -40 + 4x

Solving
-7 + 7x = -40 + 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 + 7x + -4x = -40 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-7 + 3x = -40 + 4x + -4x

Combine like terms: 4x + -4x = 0
-7 + 3x = -40 + 0
-7 + 3x = -40

Add '7' to each side of the equation.
-7 + 7 + 3x = -40 + 7

Combine like terms: -7 + 7 = 0
0 + 3x = -40 + 7
3x = -40 + 7

Combine like terms: -40 + 7 = -33
3x = -33

Divide each side by '3'.
x = -11

Simplifying
x = -11

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