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

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


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

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

Combine like terms: 2 + -24 = -22
-22 + 16x = 6 + -5(2x + 1)

Reorder the terms:
-22 + 16x = 6 + -5(1 + 2x)
-22 + 16x = 6 + (1 * -5 + 2x * -5)
-22 + 16x = 6 + (-5 + -10x)

Combine like terms: 6 + -5 = 1
-22 + 16x = 1 + -10x

Solving
-22 + 16x = 1 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-22 + 16x + 10x = 1 + -10x + 10x

Combine like terms: 16x + 10x = 26x
-22 + 26x = 1 + -10x + 10x

Combine like terms: -10x + 10x = 0
-22 + 26x = 1 + 0
-22 + 26x = 1

Add '22' to each side of the equation.
-22 + 22 + 26x = 1 + 22

Combine like terms: -22 + 22 = 0
0 + 26x = 1 + 22
26x = 1 + 22

Combine like terms: 1 + 22 = 23
26x = 23

Divide each side by '26'.
x = 0.8846153846

Simplifying
x = 0.8846153846

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