3x+175.5=10x-53

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Solution for 3x+175.5=10x-53 equation:


Simplifying
3x + 175.5 = 10x + -53

Reorder the terms:
175.5 + 3x = 10x + -53

Reorder the terms:
175.5 + 3x = -53 + 10x

Solving
175.5 + 3x = -53 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
175.5 + 3x + -10x = -53 + 10x + -10x

Combine like terms: 3x + -10x = -7x
175.5 + -7x = -53 + 10x + -10x

Combine like terms: 10x + -10x = 0
175.5 + -7x = -53 + 0
175.5 + -7x = -53

Add '-175.5' to each side of the equation.
175.5 + -175.5 + -7x = -53 + -175.5

Combine like terms: 175.5 + -175.5 = 0.0
0.0 + -7x = -53 + -175.5
-7x = -53 + -175.5

Combine like terms: -53 + -175.5 = -228.5
-7x = -228.5

Divide each side by '-7'.
x = 32.64285714

Simplifying
x = 32.64285714

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