3(5-x)=10(x-2)

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Solution for 3(5-x)=10(x-2) equation:


Simplifying
3(5 + -1x) = 10(x + -2)
(5 * 3 + -1x * 3) = 10(x + -2)
(15 + -3x) = 10(x + -2)

Reorder the terms:
15 + -3x = 10(-2 + x)
15 + -3x = (-2 * 10 + x * 10)
15 + -3x = (-20 + 10x)

Solving
15 + -3x = -20 + 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.
15 + -3x + -10x = -20 + 10x + -10x

Combine like terms: -3x + -10x = -13x
15 + -13x = -20 + 10x + -10x

Combine like terms: 10x + -10x = 0
15 + -13x = -20 + 0
15 + -13x = -20

Add '-15' to each side of the equation.
15 + -15 + -13x = -20 + -15

Combine like terms: 15 + -15 = 0
0 + -13x = -20 + -15
-13x = -20 + -15

Combine like terms: -20 + -15 = -35
-13x = -35

Divide each side by '-13'.
x = 2.692307692

Simplifying
x = 2.692307692

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