9(x-4)=-7(x+2)+40

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Solution for 9(x-4)=-7(x+2)+40 equation:


Simplifying
9(x + -4) = -7(x + 2) + 40

Reorder the terms:
9(-4 + x) = -7(x + 2) + 40
(-4 * 9 + x * 9) = -7(x + 2) + 40
(-36 + 9x) = -7(x + 2) + 40

Reorder the terms:
-36 + 9x = -7(2 + x) + 40
-36 + 9x = (2 * -7 + x * -7) + 40
-36 + 9x = (-14 + -7x) + 40

Reorder the terms:
-36 + 9x = -14 + 40 + -7x

Combine like terms: -14 + 40 = 26
-36 + 9x = 26 + -7x

Solving
-36 + 9x = 26 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-36 + 9x + 7x = 26 + -7x + 7x

Combine like terms: 9x + 7x = 16x
-36 + 16x = 26 + -7x + 7x

Combine like terms: -7x + 7x = 0
-36 + 16x = 26 + 0
-36 + 16x = 26

Add '36' to each side of the equation.
-36 + 36 + 16x = 26 + 36

Combine like terms: -36 + 36 = 0
0 + 16x = 26 + 36
16x = 26 + 36

Combine like terms: 26 + 36 = 62
16x = 62

Divide each side by '16'.
x = 3.875

Simplifying
x = 3.875

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