(7x+4)=(10x-28)

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Solution for (7x+4)=(10x-28) equation:


Simplifying
(7x + 4) = (10x + -28)

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

Remove parenthesis around (4 + 7x)
4 + 7x = (10x + -28)

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

Remove parenthesis around (-28 + 10x)
4 + 7x = -28 + 10x

Solving
4 + 7x = -28 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
4 + 7x + -10x = -28 + 10x + -10x

Combine like terms: 7x + -10x = -3x
4 + -3x = -28 + 10x + -10x

Combine like terms: 10x + -10x = 0
4 + -3x = -28 + 0
4 + -3x = -28

Add '-4' to each side of the equation.
4 + -4 + -3x = -28 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = -28 + -4
-3x = -28 + -4

Combine like terms: -28 + -4 = -32
-3x = -32

Divide each side by '-3'.
x = 10.66666667

Simplifying
x = 10.66666667

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