3x-53=-x+75

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Solution for 3x-53=-x+75 equation:


Simplifying
3x + -53 = -1x + 75

Reorder the terms:
-53 + 3x = -1x + 75

Reorder the terms:
-53 + 3x = 75 + -1x

Solving
-53 + 3x = 75 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-53 + 3x + x = 75 + -1x + x

Combine like terms: 3x + x = 4x
-53 + 4x = 75 + -1x + x

Combine like terms: -1x + x = 0
-53 + 4x = 75 + 0
-53 + 4x = 75

Add '53' to each side of the equation.
-53 + 53 + 4x = 75 + 53

Combine like terms: -53 + 53 = 0
0 + 4x = 75 + 53
4x = 75 + 53

Combine like terms: 75 + 53 = 128
4x = 128

Divide each side by '4'.
x = 32

Simplifying
x = 32

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