11(x-4)=7x-28

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Solution for 11(x-4)=7x-28 equation:


Simplifying
11(x + -4) = 7x + -28

Reorder the terms:
11(-4 + x) = 7x + -28
(-4 * 11 + x * 11) = 7x + -28
(-44 + 11x) = 7x + -28

Reorder the terms:
-44 + 11x = -28 + 7x

Solving
-44 + 11x = -28 + 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.
-44 + 11x + -7x = -28 + 7x + -7x

Combine like terms: 11x + -7x = 4x
-44 + 4x = -28 + 7x + -7x

Combine like terms: 7x + -7x = 0
-44 + 4x = -28 + 0
-44 + 4x = -28

Add '44' to each side of the equation.
-44 + 44 + 4x = -28 + 44

Combine like terms: -44 + 44 = 0
0 + 4x = -28 + 44
4x = -28 + 44

Combine like terms: -28 + 44 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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