28x-8(4x+3)=3(2x-3)

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Solution for 28x-8(4x+3)=3(2x-3) equation:


Simplifying
28x + -8(4x + 3) = 3(2x + -3)

Reorder the terms:
28x + -8(3 + 4x) = 3(2x + -3)
28x + (3 * -8 + 4x * -8) = 3(2x + -3)
28x + (-24 + -32x) = 3(2x + -3)

Reorder the terms:
-24 + 28x + -32x = 3(2x + -3)

Combine like terms: 28x + -32x = -4x
-24 + -4x = 3(2x + -3)

Reorder the terms:
-24 + -4x = 3(-3 + 2x)
-24 + -4x = (-3 * 3 + 2x * 3)
-24 + -4x = (-9 + 6x)

Solving
-24 + -4x = -9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-24 + -4x + -6x = -9 + 6x + -6x

Combine like terms: -4x + -6x = -10x
-24 + -10x = -9 + 6x + -6x

Combine like terms: 6x + -6x = 0
-24 + -10x = -9 + 0
-24 + -10x = -9

Add '24' to each side of the equation.
-24 + 24 + -10x = -9 + 24

Combine like terms: -24 + 24 = 0
0 + -10x = -9 + 24
-10x = -9 + 24

Combine like terms: -9 + 24 = 15
-10x = 15

Divide each side by '-10'.
x = -1.5

Simplifying
x = -1.5

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