2(3x+11)-3(x+4)=40

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Solution for 2(3x+11)-3(x+4)=40 equation: 


Simplifying
2(3x + 11) + -3(x + 4) = 40

Reorder the terms:
2(11 + 3x) + -3(x + 4) = 40
(11 * 2 + 3x * 2) + -3(x + 4) = 40
(22 + 6x) + -3(x + 4) = 40

Reorder the terms:
22 + 6x + -3(4 + x) = 40
22 + 6x + (4 * -3 + x * -3) = 40
22 + 6x + (-12 + -3x) = 40

Reorder the terms:
22 + -12 + 6x + -3x = 40

Combine like terms: 22 + -12 = 10
10 + 6x + -3x = 40

Combine like terms: 6x + -3x = 3x
10 + 3x = 40

Solving
10 + 3x = 40

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 + 3x = 40 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 40 + -10
3x = 40 + -10

Combine like terms: 40 + -10 = 30
3x = 30

Divide each side by '3'.
x = 10

Simplifying
x = 10

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