4x+28=7x-5

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Solution for 4x+28=7x-5 equation:


Simplifying
4x + 28 = 7x + -5

Reorder the terms:
28 + 4x = 7x + -5

Reorder the terms:
28 + 4x = -5 + 7x

Solving
28 + 4x = -5 + 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.
28 + 4x + -7x = -5 + 7x + -7x

Combine like terms: 4x + -7x = -3x
28 + -3x = -5 + 7x + -7x

Combine like terms: 7x + -7x = 0
28 + -3x = -5 + 0
28 + -3x = -5

Add '-28' to each side of the equation.
28 + -28 + -3x = -5 + -28

Combine like terms: 28 + -28 = 0
0 + -3x = -5 + -28
-3x = -5 + -28

Combine like terms: -5 + -28 = -33
-3x = -33

Divide each side by '-3'.
x = 11

Simplifying
x = 11

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