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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