5(3-x)=2(x-4)15

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Solution for 5(3-x)=2(x-4)15 equation:


Simplifying
5(3 + -1x) = 2(x + -4) * 15
(3 * 5 + -1x * 5) = 2(x + -4) * 15
(15 + -5x) = 2(x + -4) * 15

Reorder the terms:
15 + -5x = 2(-4 + x) * 15

Reorder the terms for easier multiplication:
15 + -5x = 2 * 15(-4 + x)

Multiply 2 * 15
15 + -5x = 30(-4 + x)
15 + -5x = (-4 * 30 + x * 30)
15 + -5x = (-120 + 30x)

Solving
15 + -5x = -120 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
15 + -5x + -30x = -120 + 30x + -30x

Combine like terms: -5x + -30x = -35x
15 + -35x = -120 + 30x + -30x

Combine like terms: 30x + -30x = 0
15 + -35x = -120 + 0
15 + -35x = -120

Add '-15' to each side of the equation.
15 + -15 + -35x = -120 + -15

Combine like terms: 15 + -15 = 0
0 + -35x = -120 + -15
-35x = -120 + -15

Combine like terms: -120 + -15 = -135
-35x = -135

Divide each side by '-35'.
x = 3.857142857

Simplifying
x = 3.857142857

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