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

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


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

Reorder the terms:
15 + -3x = 2(-1 + x) + -3
15 + -3x = (-1 * 2 + x * 2) + -3
15 + -3x = (-2 + 2x) + -3

Reorder the terms:
15 + -3x = -2 + -3 + 2x

Combine like terms: -2 + -3 = -5
15 + -3x = -5 + 2x

Solving
15 + -3x = -5 + 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 + -3x + -2x = -5 + 2x + -2x

Combine like terms: -3x + -2x = -5x
15 + -5x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + -5x = -5 + 0
15 + -5x = -5

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

Combine like terms: 15 + -15 = 0
0 + -5x = -5 + -15
-5x = -5 + -15

Combine like terms: -5 + -15 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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