3x+7=13x-53

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Solution for 3x+7=13x-53 equation:


Simplifying
3x + 7 = 13x + -53

Reorder the terms:
7 + 3x = 13x + -53

Reorder the terms:
7 + 3x = -53 + 13x

Solving
7 + 3x = -53 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
7 + 3x + -13x = -53 + 13x + -13x

Combine like terms: 3x + -13x = -10x
7 + -10x = -53 + 13x + -13x

Combine like terms: 13x + -13x = 0
7 + -10x = -53 + 0
7 + -10x = -53

Add '-7' to each side of the equation.
7 + -7 + -10x = -53 + -7

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

Combine like terms: -53 + -7 = -60
-10x = -60

Divide each side by '-10'.
x = 6

Simplifying
x = 6

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