3(x+1)+2(2x+1)-5(x+3)=14

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Solution for 3(x+1)+2(2x+1)-5(x+3)=14 equation:


Simplifying
3(x + 1) + 2(2x + 1) + -5(x + 3) = 14

Reorder the terms:
3(1 + x) + 2(2x + 1) + -5(x + 3) = 14
(1 * 3 + x * 3) + 2(2x + 1) + -5(x + 3) = 14
(3 + 3x) + 2(2x + 1) + -5(x + 3) = 14

Reorder the terms:
3 + 3x + 2(1 + 2x) + -5(x + 3) = 14
3 + 3x + (1 * 2 + 2x * 2) + -5(x + 3) = 14
3 + 3x + (2 + 4x) + -5(x + 3) = 14

Reorder the terms:
3 + 3x + 2 + 4x + -5(3 + x) = 14
3 + 3x + 2 + 4x + (3 * -5 + x * -5) = 14
3 + 3x + 2 + 4x + (-15 + -5x) = 14

Reorder the terms:
3 + 2 + -15 + 3x + 4x + -5x = 14

Combine like terms: 3 + 2 = 5
5 + -15 + 3x + 4x + -5x = 14

Combine like terms: 5 + -15 = -10
-10 + 3x + 4x + -5x = 14

Combine like terms: 3x + 4x = 7x
-10 + 7x + -5x = 14

Combine like terms: 7x + -5x = 2x
-10 + 2x = 14

Solving
-10 + 2x = 14

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 2x = 14 + 10

Combine like terms: -10 + 10 = 0
0 + 2x = 14 + 10
2x = 14 + 10

Combine like terms: 14 + 10 = 24
2x = 24

Divide each side by '2'.
x = 12

Simplifying
x = 12

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