3x+10=13x-64

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Solution for 3x+10=13x-64 equation:


Simplifying
3x + 10 = 13x + -64

Reorder the terms:
10 + 3x = 13x + -64

Reorder the terms:
10 + 3x = -64 + 13x

Solving
10 + 3x = -64 + 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.
10 + 3x + -13x = -64 + 13x + -13x

Combine like terms: 3x + -13x = -10x
10 + -10x = -64 + 13x + -13x

Combine like terms: 13x + -13x = 0
10 + -10x = -64 + 0
10 + -10x = -64

Add '-10' to each side of the equation.
10 + -10 + -10x = -64 + -10

Combine like terms: 10 + -10 = 0
0 + -10x = -64 + -10
-10x = -64 + -10

Combine like terms: -64 + -10 = -74
-10x = -74

Divide each side by '-10'.
x = 7.4

Simplifying
x = 7.4

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