7(x-4)=-2x+44

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Solution for 7(x-4)=-2x+44 equation:


Simplifying
7(x + -4) = -2x + 44

Reorder the terms:
7(-4 + x) = -2x + 44
(-4 * 7 + x * 7) = -2x + 44
(-28 + 7x) = -2x + 44

Reorder the terms:
-28 + 7x = 44 + -2x

Solving
-28 + 7x = 44 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-28 + 7x + 2x = 44 + -2x + 2x

Combine like terms: 7x + 2x = 9x
-28 + 9x = 44 + -2x + 2x

Combine like terms: -2x + 2x = 0
-28 + 9x = 44 + 0
-28 + 9x = 44

Add '28' to each side of the equation.
-28 + 28 + 9x = 44 + 28

Combine like terms: -28 + 28 = 0
0 + 9x = 44 + 28
9x = 44 + 28

Combine like terms: 44 + 28 = 72
9x = 72

Divide each side by '9'.
x = 8

Simplifying
x = 8

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