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

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


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

Reorder the terms:
8 + 2(-6 + 4x) = 5 + -4(2x + 1)
8 + (-6 * 2 + 4x * 2) = 5 + -4(2x + 1)
8 + (-12 + 8x) = 5 + -4(2x + 1)

Combine like terms: 8 + -12 = -4
-4 + 8x = 5 + -4(2x + 1)

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

Combine like terms: 5 + -4 = 1
-4 + 8x = 1 + -8x

Solving
-4 + 8x = 1 + -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.
-4 + 8x + 8x = 1 + -8x + 8x

Combine like terms: 8x + 8x = 16x
-4 + 16x = 1 + -8x + 8x

Combine like terms: -8x + 8x = 0
-4 + 16x = 1 + 0
-4 + 16x = 1

Add '4' to each side of the equation.
-4 + 4 + 16x = 1 + 4

Combine like terms: -4 + 4 = 0
0 + 16x = 1 + 4
16x = 1 + 4

Combine like terms: 1 + 4 = 5
16x = 5

Divide each side by '16'.
x = 0.3125

Simplifying
x = 0.3125

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