6(x+2)-5(x+1)=10

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Solution for 6(x+2)-5(x+1)=10 equation: 


Simplifying
6(x + 2) + -5(x + 1) = 10

Reorder the terms:
6(2 + x) + -5(x + 1) = 10
(2 * 6 + x * 6) + -5(x + 1) = 10
(12 + 6x) + -5(x + 1) = 10

Reorder the terms:
12 + 6x + -5(1 + x) = 10
12 + 6x + (1 * -5 + x * -5) = 10
12 + 6x + (-5 + -5x) = 10

Reorder the terms:
12 + -5 + 6x + -5x = 10

Combine like terms: 12 + -5 = 7
7 + 6x + -5x = 10

Combine like terms: 6x + -5x = 1x
7 + 1x = 10

Solving
7 + 1x = 10

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 1x = 10 + -7

Combine like terms: 7 + -7 = 0
0 + 1x = 10 + -7
1x = 10 + -7

Combine like terms: 10 + -7 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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