3(x-13)=10x-3

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Solution for 3(x-13)=10x-3 equation:


Simplifying
3(x + -13) = 10x + -3

Reorder the terms:
3(-13 + x) = 10x + -3
(-13 * 3 + x * 3) = 10x + -3
(-39 + 3x) = 10x + -3

Reorder the terms:
-39 + 3x = -3 + 10x

Solving
-39 + 3x = -3 + 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.
-39 + 3x + -10x = -3 + 10x + -10x

Combine like terms: 3x + -10x = -7x
-39 + -7x = -3 + 10x + -10x

Combine like terms: 10x + -10x = 0
-39 + -7x = -3 + 0
-39 + -7x = -3

Add '39' to each side of the equation.
-39 + 39 + -7x = -3 + 39

Combine like terms: -39 + 39 = 0
0 + -7x = -3 + 39
-7x = -3 + 39

Combine like terms: -3 + 39 = 36
-7x = 36

Divide each side by '-7'.
x = -5.142857143

Simplifying
x = -5.142857143

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