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

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


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

Reorder the terms:
4 + 4(-6 + 4x) = 5 + -3(2x + 1)
4 + (-6 * 4 + 4x * 4) = 5 + -3(2x + 1)
4 + (-24 + 16x) = 5 + -3(2x + 1)

Combine like terms: 4 + -24 = -20
-20 + 16x = 5 + -3(2x + 1)

Reorder the terms:
-20 + 16x = 5 + -3(1 + 2x)
-20 + 16x = 5 + (1 * -3 + 2x * -3)
-20 + 16x = 5 + (-3 + -6x)

Combine like terms: 5 + -3 = 2
-20 + 16x = 2 + -6x

Solving
-20 + 16x = 2 + -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.
-20 + 16x + 6x = 2 + -6x + 6x

Combine like terms: 16x + 6x = 22x
-20 + 22x = 2 + -6x + 6x

Combine like terms: -6x + 6x = 0
-20 + 22x = 2 + 0
-20 + 22x = 2

Add '20' to each side of the equation.
-20 + 20 + 22x = 2 + 20

Combine like terms: -20 + 20 = 0
0 + 22x = 2 + 20
22x = 2 + 20

Combine like terms: 2 + 20 = 22
22x = 22

Divide each side by '22'.
x = 1

Simplifying
x = 1

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