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

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


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

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

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

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

Reorder the terms:
-3 + 3x = 5(2 + x)
-3 + 3x = (2 * 5 + x * 5)
-3 + 3x = (10 + 5x)

Solving
-3 + 3x = 10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-3 + 3x + -5x = 10 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-3 + -2x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-3 + -2x = 10 + 0
-3 + -2x = 10

Add '3' to each side of the equation.
-3 + 3 + -2x = 10 + 3

Combine like terms: -3 + 3 = 0
0 + -2x = 10 + 3
-2x = 10 + 3

Combine like terms: 10 + 3 = 13
-2x = 13

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

Simplifying
x = -6.5

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