4(x-9)=-3x-43

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Solution for 4(x-9)=-3x-43 equation:


Simplifying
4(x + -9) = -3x + -43

Reorder the terms:
4(-9 + x) = -3x + -43
(-9 * 4 + x * 4) = -3x + -43
(-36 + 4x) = -3x + -43

Reorder the terms:
-36 + 4x = -43 + -3x

Solving
-36 + 4x = -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.
-36 + 4x + 3x = -43 + -3x + 3x

Combine like terms: 4x + 3x = 7x
-36 + 7x = -43 + -3x + 3x

Combine like terms: -3x + 3x = 0
-36 + 7x = -43 + 0
-36 + 7x = -43

Add '36' to each side of the equation.
-36 + 36 + 7x = -43 + 36

Combine like terms: -36 + 36 = 0
0 + 7x = -43 + 36
7x = -43 + 36

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

Divide each side by '7'.
x = -1

Simplifying
x = -1

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