3x-8=7x-40

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Solution for 3x-8=7x-40 equation:


Simplifying
3x + -8 = 7x + -40

Reorder the terms:
-8 + 3x = 7x + -40

Reorder the terms:
-8 + 3x = -40 + 7x

Solving
-8 + 3x = -40 + 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.
-8 + 3x + -7x = -40 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-8 + -4x = -40 + 7x + -7x

Combine like terms: 7x + -7x = 0
-8 + -4x = -40 + 0
-8 + -4x = -40

Add '8' to each side of the equation.
-8 + 8 + -4x = -40 + 8

Combine like terms: -8 + 8 = 0
0 + -4x = -40 + 8
-4x = -40 + 8

Combine like terms: -40 + 8 = -32
-4x = -32

Divide each side by '-4'.
x = 8

Simplifying
x = 8

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