3(x+1)+2(x-3)=18

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Solution for 3(x+1)+2(x-3)=18 equation:


Simplifying
3(x + 1) + 2(x + -3) = 18

Reorder the terms:
3(1 + x) + 2(x + -3) = 18
(1 * 3 + x * 3) + 2(x + -3) = 18
(3 + 3x) + 2(x + -3) = 18

Reorder the terms:
3 + 3x + 2(-3 + x) = 18
3 + 3x + (-3 * 2 + x * 2) = 18
3 + 3x + (-6 + 2x) = 18

Reorder the terms:
3 + -6 + 3x + 2x = 18

Combine like terms: 3 + -6 = -3
-3 + 3x + 2x = 18

Combine like terms: 3x + 2x = 5x
-3 + 5x = 18

Solving
-3 + 5x = 18

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 5x = 18 + 3

Combine like terms: -3 + 3 = 0
0 + 5x = 18 + 3
5x = 18 + 3

Combine like terms: 18 + 3 = 21
5x = 21

Divide each side by '5'.
x = 4.2

Simplifying
x = 4.2

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