2(x-2)-7=43-4x

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Solution for 2(x-2)-7=43-4x equation:


Simplifying
2(x + -2) + -7 = 43 + -4x

Reorder the terms:
2(-2 + x) + -7 = 43 + -4x
(-2 * 2 + x * 2) + -7 = 43 + -4x
(-4 + 2x) + -7 = 43 + -4x

Reorder the terms:
-4 + -7 + 2x = 43 + -4x

Combine like terms: -4 + -7 = -11
-11 + 2x = 43 + -4x

Solving
-11 + 2x = 43 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-11 + 2x + 4x = 43 + -4x + 4x

Combine like terms: 2x + 4x = 6x
-11 + 6x = 43 + -4x + 4x

Combine like terms: -4x + 4x = 0
-11 + 6x = 43 + 0
-11 + 6x = 43

Add '11' to each side of the equation.
-11 + 11 + 6x = 43 + 11

Combine like terms: -11 + 11 = 0
0 + 6x = 43 + 11
6x = 43 + 11

Combine like terms: 43 + 11 = 54
6x = 54

Divide each side by '6'.
x = 9

Simplifying
x = 9

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