3(4x-5)+2(11-2x)=43

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Solution for 3(4x-5)+2(11-2x)=43 equation: 


Simplifying
3(4x + -5) + 2(11 + -2x) = 43

Reorder the terms:
3(-5 + 4x) + 2(11 + -2x) = 43
(-5 * 3 + 4x * 3) + 2(11 + -2x) = 43
(-15 + 12x) + 2(11 + -2x) = 43
-15 + 12x + (11 * 2 + -2x * 2) = 43
-15 + 12x + (22 + -4x) = 43

Reorder the terms:
-15 + 22 + 12x + -4x = 43

Combine like terms: -15 + 22 = 7
7 + 12x + -4x = 43

Combine like terms: 12x + -4x = 8x
7 + 8x = 43

Solving
7 + 8x = 43

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 = 43 + -7

Combine like terms: 7 + -7 = 0
0 + 8x = 43 + -7
8x = 43 + -7

Combine like terms: 43 + -7 = 36
8x = 36

Divide each side by '8'.
x = 4.5

Simplifying
x = 4.5

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