4(x+1)=11x-28

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Solution for 4(x+1)=11x-28 equation:


Simplifying
4(x + 1) = 11x + -28

Reorder the terms:
4(1 + x) = 11x + -28
(1 * 4 + x * 4) = 11x + -28
(4 + 4x) = 11x + -28

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

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

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

Combine like terms: 11x + -11x = 0
4 + -7x = -28 + 0
4 + -7x = -28

Add '-4' to each side of the equation.
4 + -4 + -7x = -28 + -4

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

Combine like terms: -28 + -4 = -32
-7x = -32

Divide each side by '-7'.
x = 4.571428571

Simplifying
x = 4.571428571

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