-7(x-4)=-11(x-10)

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Solution for -7(x-4)=-11(x-10) equation:


Simplifying
-7(x + -4) = -11(x + -10)

Reorder the terms:
-7(-4 + x) = -11(x + -10)
(-4 * -7 + x * -7) = -11(x + -10)
(28 + -7x) = -11(x + -10)

Reorder the terms:
28 + -7x = -11(-10 + x)
28 + -7x = (-10 * -11 + x * -11)
28 + -7x = (110 + -11x)

Solving
28 + -7x = 110 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
28 + -7x + 11x = 110 + -11x + 11x

Combine like terms: -7x + 11x = 4x
28 + 4x = 110 + -11x + 11x

Combine like terms: -11x + 11x = 0
28 + 4x = 110 + 0
28 + 4x = 110

Add '-28' to each side of the equation.
28 + -28 + 4x = 110 + -28

Combine like terms: 28 + -28 = 0
0 + 4x = 110 + -28
4x = 110 + -28

Combine like terms: 110 + -28 = 82
4x = 82

Divide each side by '4'.
x = 20.5

Simplifying
x = 20.5

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