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

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


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

Reorder the terms:
5(1 + x) = 3(2 + -1x)
(1 * 5 + x * 5) = 3(2 + -1x)
(5 + 5x) = 3(2 + -1x)
5 + 5x = (2 * 3 + -1x * 3)
5 + 5x = (6 + -3x)

Solving
5 + 5x = 6 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
5 + 5x + 3x = 6 + -3x + 3x

Combine like terms: 5x + 3x = 8x
5 + 8x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
5 + 8x = 6 + 0
5 + 8x = 6

Add '-5' to each side of the equation.
5 + -5 + 8x = 6 + -5

Combine like terms: 5 + -5 = 0
0 + 8x = 6 + -5
8x = 6 + -5

Combine like terms: 6 + -5 = 1
8x = 1

Divide each side by '8'.
x = 0.125

Simplifying
x = 0.125

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