3x-3=10x+53

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


Simplifying
3x + -3 = 10x + 53

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

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

Solving
-3 + 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.
-3 + 3x + -10x = 53 + 10x + -10x

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

Combine like terms: 10x + -10x = 0
-3 + -7x = 53 + 0
-3 + -7x = 53

Add '3' to each side of the equation.
-3 + 3 + -7x = 53 + 3

Combine like terms: -3 + 3 = 0
0 + -7x = 53 + 3
-7x = 53 + 3

Combine like terms: 53 + 3 = 56
-7x = 56

Divide each side by '-7'.
x = -8

Simplifying
x = -8

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