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

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


Simplifying
3(4x + -5) + 2(11 + -2x) = 43 + -1x

Reorder the terms:
3(-5 + 4x) + 2(11 + -2x) = 43 + -1x
(-5 * 3 + 4x * 3) + 2(11 + -2x) = 43 + -1x
(-15 + 12x) + 2(11 + -2x) = 43 + -1x
-15 + 12x + (11 * 2 + -2x * 2) = 43 + -1x
-15 + 12x + (22 + -4x) = 43 + -1x

Reorder the terms:
-15 + 22 + 12x + -4x = 43 + -1x

Combine like terms: -15 + 22 = 7
7 + 12x + -4x = 43 + -1x

Combine like terms: 12x + -4x = 8x
7 + 8x = 43 + -1x

Solving
7 + 8x = 43 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
7 + 8x + x = 43 + -1x + x

Combine like terms: 8x + x = 9x
7 + 9x = 43 + -1x + x

Combine like terms: -1x + x = 0
7 + 9x = 43 + 0
7 + 9x = 43

Add '-7' to each side of the equation.
7 + -7 + 9x = 43 + -7

Combine like terms: 7 + -7 = 0
0 + 9x = 43 + -7
9x = 43 + -7

Combine like terms: 43 + -7 = 36
9x = 36

Divide each side by '9'.
x = 4

Simplifying
x = 4

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