6(x+2)-3(x-1)=30

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Solution for 6(x+2)-3(x-1)=30 equation:


Simplifying
6(x + 2) + -3(x + -1) = 30

Reorder the terms:
6(2 + x) + -3(x + -1) = 30
(2 * 6 + x * 6) + -3(x + -1) = 30
(12 + 6x) + -3(x + -1) = 30

Reorder the terms:
12 + 6x + -3(-1 + x) = 30
12 + 6x + (-1 * -3 + x * -3) = 30
12 + 6x + (3 + -3x) = 30

Reorder the terms:
12 + 3 + 6x + -3x = 30

Combine like terms: 12 + 3 = 15
15 + 6x + -3x = 30

Combine like terms: 6x + -3x = 3x
15 + 3x = 30

Solving
15 + 3x = 30

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + 3x = 30 + -15

Combine like terms: 15 + -15 = 0
0 + 3x = 30 + -15
3x = 30 + -15

Combine like terms: 30 + -15 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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