3(4x-5)+2(11-2x)=39

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Solution for 3(4x-5)+2(11-2x)=39 equation: 


Simplifying
3(4x + -5) + 2(11 + -2x) = 39

Reorder the terms:
3(-5 + 4x) + 2(11 + -2x) = 39
(-5 * 3 + 4x * 3) + 2(11 + -2x) = 39
(-15 + 12x) + 2(11 + -2x) = 39
-15 + 12x + (11 * 2 + -2x * 2) = 39
-15 + 12x + (22 + -4x) = 39

Reorder the terms:
-15 + 22 + 12x + -4x = 39

Combine like terms: -15 + 22 = 7
7 + 12x + -4x = 39

Combine like terms: 12x + -4x = 8x
7 + 8x = 39

Solving
7 + 8x = 39

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 8x = 39 + -7

Combine like terms: 7 + -7 = 0
0 + 8x = 39 + -7
8x = 39 + -7

Combine like terms: 39 + -7 = 32
8x = 32

Divide each side by '8'.
x = 4

Simplifying
x = 4

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