5(x+1)+8=3(x-2)+6

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Solution for 5(x+1)+8=3(x-2)+6 equation:


Simplifying
5(x + 1) + 8 = 3(x + -2) + 6

Reorder the terms:
5(1 + x) + 8 = 3(x + -2) + 6
(1 * 5 + x * 5) + 8 = 3(x + -2) + 6
(5 + 5x) + 8 = 3(x + -2) + 6

Reorder the terms:
5 + 8 + 5x = 3(x + -2) + 6

Combine like terms: 5 + 8 = 13
13 + 5x = 3(x + -2) + 6

Reorder the terms:
13 + 5x = 3(-2 + x) + 6
13 + 5x = (-2 * 3 + x * 3) + 6
13 + 5x = (-6 + 3x) + 6

Reorder the terms:
13 + 5x = -6 + 6 + 3x

Combine like terms: -6 + 6 = 0
13 + 5x = 0 + 3x
13 + 5x = 3x

Solving
13 + 5x = 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.
13 + 5x + -3x = 3x + -3x

Combine like terms: 5x + -3x = 2x
13 + 2x = 3x + -3x

Combine like terms: 3x + -3x = 0
13 + 2x = 0

Add '-13' to each side of the equation.
13 + -13 + 2x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 2x = 0 + -13
2x = 0 + -13

Combine like terms: 0 + -13 = -13
2x = -13

Divide each side by '2'.
x = -6.5

Simplifying
x = -6.5

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