9(x-4)=-3x+7

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Solution for 9(x-4)=-3x+7 equation:


Simplifying
9(x + -4) = -3x + 7

Reorder the terms:
9(-4 + x) = -3x + 7
(-4 * 9 + x * 9) = -3x + 7
(-36 + 9x) = -3x + 7

Reorder the terms:
-36 + 9x = 7 + -3x

Solving
-36 + 9x = 7 + -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 + 9x + 3x = 7 + -3x + 3x

Combine like terms: 9x + 3x = 12x
-36 + 12x = 7 + -3x + 3x

Combine like terms: -3x + 3x = 0
-36 + 12x = 7 + 0
-36 + 12x = 7

Add '36' to each side of the equation.
-36 + 36 + 12x = 7 + 36

Combine like terms: -36 + 36 = 0
0 + 12x = 7 + 36
12x = 7 + 36

Combine like terms: 7 + 36 = 43
12x = 43

Divide each side by '12'.
x = 3.583333333

Simplifying
x = 3.583333333

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