3(5-2x)=2(x-1)

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Solution for 3(5-2x)=2(x-1) equation:


Simplifying
3(5 + -2x) = 2(x + -1)
(5 * 3 + -2x * 3) = 2(x + -1)
(15 + -6x) = 2(x + -1)

Reorder the terms:
15 + -6x = 2(-1 + x)
15 + -6x = (-1 * 2 + x * 2)
15 + -6x = (-2 + 2x)

Solving
15 + -6x = -2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
15 + -6x + -2x = -2 + 2x + -2x

Combine like terms: -6x + -2x = -8x
15 + -8x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + -8x = -2 + 0
15 + -8x = -2

Add '-15' to each side of the equation.
15 + -15 + -8x = -2 + -15

Combine like terms: 15 + -15 = 0
0 + -8x = -2 + -15
-8x = -2 + -15

Combine like terms: -2 + -15 = -17
-8x = -17

Divide each side by '-8'.
x = 2.125

Simplifying
x = 2.125

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