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

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


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

Reorder the terms:
5(2 + x) = 3(x + 1) + -6x + 6
(2 * 5 + x * 5) = 3(x + 1) + -6x + 6
(10 + 5x) = 3(x + 1) + -6x + 6

Reorder the terms:
10 + 5x = 3(1 + x) + -6x + 6
10 + 5x = (1 * 3 + x * 3) + -6x + 6
10 + 5x = (3 + 3x) + -6x + 6

Reorder the terms:
10 + 5x = 3 + 6 + 3x + -6x

Combine like terms: 3 + 6 = 9
10 + 5x = 9 + 3x + -6x

Combine like terms: 3x + -6x = -3x
10 + 5x = 9 + -3x

Solving
10 + 5x = 9 + -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.
10 + 5x + 3x = 9 + -3x + 3x

Combine like terms: 5x + 3x = 8x
10 + 8x = 9 + -3x + 3x

Combine like terms: -3x + 3x = 0
10 + 8x = 9 + 0
10 + 8x = 9

Add '-10' to each side of the equation.
10 + -10 + 8x = 9 + -10

Combine like terms: 10 + -10 = 0
0 + 8x = 9 + -10
8x = 9 + -10

Combine like terms: 9 + -10 = -1
8x = -1

Divide each side by '8'.
x = -0.125

Simplifying
x = -0.125

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