3x+175=10x-14

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Solution for 3x+175=10x-14 equation:


Simplifying
3x + 175 = 10x + -14

Reorder the terms:
175 + 3x = 10x + -14

Reorder the terms:
175 + 3x = -14 + 10x

Solving
175 + 3x = -14 + 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 + 3x + -10x = -14 + 10x + -10x

Combine like terms: 3x + -10x = -7x
175 + -7x = -14 + 10x + -10x

Combine like terms: 10x + -10x = 0
175 + -7x = -14 + 0
175 + -7x = -14

Add '-175' to each side of the equation.
175 + -175 + -7x = -14 + -175

Combine like terms: 175 + -175 = 0
0 + -7x = -14 + -175
-7x = -14 + -175

Combine like terms: -14 + -175 = -189
-7x = -189

Divide each side by '-7'.
x = 27

Simplifying
x = 27

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