3+4(5x-6)=8-4(2x+1)

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Solution for 3+4(5x-6)=8-4(2x+1) equation:


Simplifying
3 + 4(5x + -6) = 8 + -4(2x + 1)

Reorder the terms:
3 + 4(-6 + 5x) = 8 + -4(2x + 1)
3 + (-6 * 4 + 5x * 4) = 8 + -4(2x + 1)
3 + (-24 + 20x) = 8 + -4(2x + 1)

Combine like terms: 3 + -24 = -21
-21 + 20x = 8 + -4(2x + 1)

Reorder the terms:
-21 + 20x = 8 + -4(1 + 2x)
-21 + 20x = 8 + (1 * -4 + 2x * -4)
-21 + 20x = 8 + (-4 + -8x)

Combine like terms: 8 + -4 = 4
-21 + 20x = 4 + -8x

Solving
-21 + 20x = 4 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-21 + 20x + 8x = 4 + -8x + 8x

Combine like terms: 20x + 8x = 28x
-21 + 28x = 4 + -8x + 8x

Combine like terms: -8x + 8x = 0
-21 + 28x = 4 + 0
-21 + 28x = 4

Add '21' to each side of the equation.
-21 + 21 + 28x = 4 + 21

Combine like terms: -21 + 21 = 0
0 + 28x = 4 + 21
28x = 4 + 21

Combine like terms: 4 + 21 = 25
28x = 25

Divide each side by '28'.
x = 0.8928571429

Simplifying
x = 0.8928571429

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