5(x+1)=3(x-2)+12

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Solution for 5(x+1)=3(x-2)+12 equation:


Simplifying
5(x + 1) = 3(x + -2) + 12

Reorder the terms:
5(1 + x) = 3(x + -2) + 12
(1 * 5 + x * 5) = 3(x + -2) + 12
(5 + 5x) = 3(x + -2) + 12

Reorder the terms:
5 + 5x = 3(-2 + x) + 12
5 + 5x = (-2 * 3 + x * 3) + 12
5 + 5x = (-6 + 3x) + 12

Reorder the terms:
5 + 5x = -6 + 12 + 3x

Combine like terms: -6 + 12 = 6
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 = 2x
5 + 2x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + 2x = 6 + 0
5 + 2x = 6

Add '-5' to each side of the equation.
5 + -5 + 2x = 6 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 6 + -5
2x = 6 + -5

Combine like terms: 6 + -5 = 1
2x = 1

Divide each side by '2'.
x = 0.5

Simplifying
x = 0.5

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