5(3x-10)=x-7

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Solution for 5(3x-10)=x-7 equation:


Simplifying
5(3x + -10) = x + -7

Reorder the terms:
5(-10 + 3x) = x + -7
(-10 * 5 + 3x * 5) = x + -7
(-50 + 15x) = x + -7

Reorder the terms:
-50 + 15x = -7 + x

Solving
-50 + 15x = -7 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-50 + 15x + -1x = -7 + x + -1x

Combine like terms: 15x + -1x = 14x
-50 + 14x = -7 + x + -1x

Combine like terms: x + -1x = 0
-50 + 14x = -7 + 0
-50 + 14x = -7

Add '50' to each side of the equation.
-50 + 50 + 14x = -7 + 50

Combine like terms: -50 + 50 = 0
0 + 14x = -7 + 50
14x = -7 + 50

Combine like terms: -7 + 50 = 43
14x = 43

Divide each side by '14'.
x = 3.071428571

Simplifying
x = 3.071428571

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