3+4(4x-6)=9-4(2x+1)

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Solution for 3+4(4x-6)=9-4(2x+1) equation:


Simplifying
3 + 4(4x + -6) = 9 + -4(2x + 1)

Reorder the terms:
3 + 4(-6 + 4x) = 9 + -4(2x + 1)
3 + (-6 * 4 + 4x * 4) = 9 + -4(2x + 1)
3 + (-24 + 16x) = 9 + -4(2x + 1)

Combine like terms: 3 + -24 = -21
-21 + 16x = 9 + -4(2x + 1)

Reorder the terms:
-21 + 16x = 9 + -4(1 + 2x)
-21 + 16x = 9 + (1 * -4 + 2x * -4)
-21 + 16x = 9 + (-4 + -8x)

Combine like terms: 9 + -4 = 5
-21 + 16x = 5 + -8x

Solving
-21 + 16x = 5 + -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 + 16x + 8x = 5 + -8x + 8x

Combine like terms: 16x + 8x = 24x
-21 + 24x = 5 + -8x + 8x

Combine like terms: -8x + 8x = 0
-21 + 24x = 5 + 0
-21 + 24x = 5

Add '21' to each side of the equation.
-21 + 21 + 24x = 5 + 21

Combine like terms: -21 + 21 = 0
0 + 24x = 5 + 21
24x = 5 + 21

Combine like terms: 5 + 21 = 26
24x = 26

Divide each side by '24'.
x = 1.083333333

Simplifying
x = 1.083333333

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