3(2x+1)-5(x-2)=10

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Solution for 3(2x+1)-5(x-2)=10 equation: 


Simplifying
3(2x + 1) + -5(x + -2) = 10

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

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

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

Combine like terms: 3 + 10 = 13
13 + 6x + -5x = 10

Combine like terms: 6x + -5x = 1x
13 + 1x = 10

Solving
13 + 1x = 10

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + 1x = 10 + -13

Combine like terms: 13 + -13 = 0
0 + 1x = 10 + -13
1x = 10 + -13

Combine like terms: 10 + -13 = -3
1x = -3

Divide each side by '1'.
x = -3

Simplifying
x = -3

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