7x-40=4x+75

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Solution for 7x-40=4x+75 equation:


Simplifying
7x + -40 = 4x + 75

Reorder the terms:
-40 + 7x = 4x + 75

Reorder the terms:
-40 + 7x = 75 + 4x

Solving
-40 + 7x = 75 + 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.
-40 + 7x + -4x = 75 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-40 + 3x = 75 + 4x + -4x

Combine like terms: 4x + -4x = 0
-40 + 3x = 75 + 0
-40 + 3x = 75

Add '40' to each side of the equation.
-40 + 40 + 3x = 75 + 40

Combine like terms: -40 + 40 = 0
0 + 3x = 75 + 40
3x = 75 + 40

Combine like terms: 75 + 40 = 115
3x = 115

Divide each side by '3'.
x = 38.33333333

Simplifying
x = 38.33333333

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