3(x+1)+4(x+3)=22

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Solution for 3(x+1)+4(x+3)=22 equation: 


Simplifying
3(x + 1) + 4(x + 3) = 22

Reorder the terms:
3(1 + x) + 4(x + 3) = 22
(1 * 3 + x * 3) + 4(x + 3) = 22
(3 + 3x) + 4(x + 3) = 22

Reorder the terms:
3 + 3x + 4(3 + x) = 22
3 + 3x + (3 * 4 + x * 4) = 22
3 + 3x + (12 + 4x) = 22

Reorder the terms:
3 + 12 + 3x + 4x = 22

Combine like terms: 3 + 12 = 15
15 + 3x + 4x = 22

Combine like terms: 3x + 4x = 7x
15 + 7x = 22

Solving
15 + 7x = 22

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 + 7x = 22 + -15

Combine like terms: 15 + -15 = 0
0 + 7x = 22 + -15
7x = 22 + -15

Combine like terms: 22 + -15 = 7
7x = 7

Divide each side by '7'.
x = 1

Simplifying
x = 1

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