3(3x+4)-2(x+1)=30

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Solution for 3(3x+4)-2(x+1)=30 equation: 


Simplifying
3(3x + 4) + -2(x + 1) = 30

Reorder the terms:
3(4 + 3x) + -2(x + 1) = 30
(4 * 3 + 3x * 3) + -2(x + 1) = 30
(12 + 9x) + -2(x + 1) = 30

Reorder the terms:
12 + 9x + -2(1 + x) = 30
12 + 9x + (1 * -2 + x * -2) = 30
12 + 9x + (-2 + -2x) = 30

Reorder the terms:
12 + -2 + 9x + -2x = 30

Combine like terms: 12 + -2 = 10
10 + 9x + -2x = 30

Combine like terms: 9x + -2x = 7x
10 + 7x = 30

Solving
10 + 7x = 30

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 + 7x = 30 + -10

Combine like terms: 10 + -10 = 0
0 + 7x = 30 + -10
7x = 30 + -10

Combine like terms: 30 + -10 = 20
7x = 20

Divide each side by '7'.
x = 2.857142857

Simplifying
x = 2.857142857

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