3x-130=10x+52

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Solution for 3x-130=10x+52 equation:


Simplifying
3x + -130 = 10x + 52

Reorder the terms:
-130 + 3x = 10x + 52

Reorder the terms:
-130 + 3x = 52 + 10x

Solving
-130 + 3x = 52 + 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.
-130 + 3x + -10x = 52 + 10x + -10x

Combine like terms: 3x + -10x = -7x
-130 + -7x = 52 + 10x + -10x

Combine like terms: 10x + -10x = 0
-130 + -7x = 52 + 0
-130 + -7x = 52

Add '130' to each side of the equation.
-130 + 130 + -7x = 52 + 130

Combine like terms: -130 + 130 = 0
0 + -7x = 52 + 130
-7x = 52 + 130

Combine like terms: 52 + 130 = 182
-7x = 182

Divide each side by '-7'.
x = -26

Simplifying
x = -26

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