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

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


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

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

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

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

Add '-15' to each side of the equation.
15 + -15 + -5x = 2 + -15

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

Combine like terms: 2 + -15 = -13
-5x = -13

Divide each side by '-5'.
x = 2.6

Simplifying
x = 2.6

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