7(x-8)=-4x+10

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Solution for 7(x-8)=-4x+10 equation:


Simplifying
7(x + -8) = -4x + 10

Reorder the terms:
7(-8 + x) = -4x + 10
(-8 * 7 + x * 7) = -4x + 10
(-56 + 7x) = -4x + 10

Reorder the terms:
-56 + 7x = 10 + -4x

Solving
-56 + 7x = 10 + -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.
-56 + 7x + 4x = 10 + -4x + 4x

Combine like terms: 7x + 4x = 11x
-56 + 11x = 10 + -4x + 4x

Combine like terms: -4x + 4x = 0
-56 + 11x = 10 + 0
-56 + 11x = 10

Add '56' to each side of the equation.
-56 + 56 + 11x = 10 + 56

Combine like terms: -56 + 56 = 0
0 + 11x = 10 + 56
11x = 10 + 56

Combine like terms: 10 + 56 = 66
11x = 66

Divide each side by '11'.
x = 6

Simplifying
x = 6

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