2x-(8x+7)=3x-43

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Solution for 2x-(8x+7)=3x-43 equation:


Simplifying
2x + -1(8x + 7) = 3x + -43

Reorder the terms:
2x + -1(7 + 8x) = 3x + -43
2x + (7 * -1 + 8x * -1) = 3x + -43
2x + (-7 + -8x) = 3x + -43

Reorder the terms:
-7 + 2x + -8x = 3x + -43

Combine like terms: 2x + -8x = -6x
-7 + -6x = 3x + -43

Reorder the terms:
-7 + -6x = -43 + 3x

Solving
-7 + -6x = -43 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-7 + -6x + -3x = -43 + 3x + -3x

Combine like terms: -6x + -3x = -9x
-7 + -9x = -43 + 3x + -3x

Combine like terms: 3x + -3x = 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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