7(x-2)=-4x+96

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Solution for 7(x-2)=-4x+96 equation:


Simplifying
7(x + -2) = -4x + 96

Reorder the terms:
7(-2 + x) = -4x + 96
(-2 * 7 + x * 7) = -4x + 96
(-14 + 7x) = -4x + 96

Reorder the terms:
-14 + 7x = 96 + -4x

Solving
-14 + 7x = 96 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-14 + 7x + 4x = 96 + -4x + 4x

Combine like terms: 7x + 4x = 11x
-14 + 11x = 96 + -4x + 4x

Combine like terms: -4x + 4x = 0
-14 + 11x = 96 + 0
-14 + 11x = 96

Add '14' to each side of the equation.
-14 + 14 + 11x = 96 + 14

Combine like terms: -14 + 14 = 0
0 + 11x = 96 + 14
11x = 96 + 14

Combine like terms: 96 + 14 = 110
11x = 110

Divide each side by '11'.
x = 10

Simplifying
x = 10

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