7x+4=11x-28

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Solution for 7x+4=11x-28 equation:


Simplifying
7x + 4 = 11x + -28

Reorder the terms:
4 + 7x = 11x + -28

Reorder the terms:
4 + 7x = -28 + 11x

Solving
4 + 7x = -28 + 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.
4 + 7x + -11x = -28 + 11x + -11x

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

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

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

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

Combine like terms: -28 + -4 = -32
-4x = -32

Divide each side by '-4'.
x = 8

Simplifying
x = 8

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