2x-40=5x-175

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Solution for 2x-40=5x-175 equation:


Simplifying
2x + -40 = 5x + -175

Reorder the terms:
-40 + 2x = 5x + -175

Reorder the terms:
-40 + 2x = -175 + 5x

Solving
-40 + 2x = -175 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
-40 + 2x + -5x = -175 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-40 + -3x = -175 + 5x + -5x

Combine like terms: 5x + -5x = 0
-40 + -3x = -175 + 0
-40 + -3x = -175

Add '40' to each side of the equation.
-40 + 40 + -3x = -175 + 40

Combine like terms: -40 + 40 = 0
0 + -3x = -175 + 40
-3x = -175 + 40

Combine like terms: -175 + 40 = -135
-3x = -135

Divide each side by '-3'.
x = 45

Simplifying
x = 45

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