3(x+3)+4(x-2)=22

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Solution for 3(x+3)+4(x-2)=22 equation: 


Simplifying
3(x + 3) + 4(x + -2) = 22

Reorder the terms:
3(3 + x) + 4(x + -2) = 22
(3 * 3 + x * 3) + 4(x + -2) = 22
(9 + 3x) + 4(x + -2) = 22

Reorder the terms:
9 + 3x + 4(-2 + x) = 22
9 + 3x + (-2 * 4 + x * 4) = 22
9 + 3x + (-8 + 4x) = 22

Reorder the terms:
9 + -8 + 3x + 4x = 22

Combine like terms: 9 + -8 = 1
1 + 3x + 4x = 22

Combine like terms: 3x + 4x = 7x
1 + 7x = 22

Solving
1 + 7x = 22

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 7x = 22 + -1

Combine like terms: 1 + -1 = 0
0 + 7x = 22 + -1
7x = 22 + -1

Combine like terms: 22 + -1 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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