x-3(2-2x)=2x+43

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


Simplifying
x + -3(2 + -2x) = 2x + 43
x + (2 * -3 + -2x * -3) = 2x + 43
x + (-6 + 6x) = 2x + 43

Reorder the terms:
-6 + x + 6x = 2x + 43

Combine like terms: x + 6x = 7x
-6 + 7x = 2x + 43

Reorder the terms:
-6 + 7x = 43 + 2x

Solving
-6 + 7x = 43 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-6 + 7x + -2x = 43 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-6 + 5x = 43 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + 5x = 43 + 0
-6 + 5x = 43

Add '6' to each side of the equation.
-6 + 6 + 5x = 43 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 43 + 6
5x = 43 + 6

Combine like terms: 43 + 6 = 49
5x = 49

Divide each side by '5'.
x = 9.8

Simplifying
x = 9.8

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