5x-2+4+3x*6=28x-2-2

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Solution for 5x-2+4+3x*6=28x-2-2 equation:


Simplifying
5x + -2 + 4 + 3x * 6 = 28x + -2 + -2

Reorder the terms for easier multiplication:
5x + -2 + 4 + 3 * 6x = 28x + -2 + -2

Multiply 3 * 6
5x + -2 + 4 + 18x = 28x + -2 + -2

Reorder the terms:
-2 + 4 + 5x + 18x = 28x + -2 + -2

Combine like terms: -2 + 4 = 2
2 + 5x + 18x = 28x + -2 + -2

Combine like terms: 5x + 18x = 23x
2 + 23x = 28x + -2 + -2

Reorder the terms:
2 + 23x = -2 + -2 + 28x

Combine like terms: -2 + -2 = -4
2 + 23x = -4 + 28x

Solving
2 + 23x = -4 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
2 + 23x + -28x = -4 + 28x + -28x

Combine like terms: 23x + -28x = -5x
2 + -5x = -4 + 28x + -28x

Combine like terms: 28x + -28x = 0
2 + -5x = -4 + 0
2 + -5x = -4

Add '-2' to each side of the equation.
2 + -2 + -5x = -4 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = -4 + -2
-5x = -4 + -2

Combine like terms: -4 + -2 = -6
-5x = -6

Divide each side by '-5'.
x = 1.2

Simplifying
x = 1.2

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