3(x-8)=7x-40

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


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

Reorder the terms:
3(-8 + x) = 7x + -40
(-8 * 3 + x * 3) = 7x + -40
(-24 + 3x) = 7x + -40

Reorder the terms:
-24 + 3x = -40 + 7x

Solving
-24 + 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.
-24 + 3x + -7x = -40 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-24 + -4x = -40 + 7x + -7x

Combine like terms: 7x + -7x = 0
-24 + -4x = -40 + 0
-24 + -4x = -40

Add '24' to each side of the equation.
-24 + 24 + -4x = -40 + 24

Combine like terms: -24 + 24 = 0
0 + -4x = -40 + 24
-4x = -40 + 24

Combine like terms: -40 + 24 = -16
-4x = -16

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

Simplifying
x = 4

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