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

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


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

Reorder the terms:
8(-1 + 2x) = 2(3x + 4) + 2(4x + 3)
(-1 * 8 + 2x * 8) = 2(3x + 4) + 2(4x + 3)
(-8 + 16x) = 2(3x + 4) + 2(4x + 3)

Reorder the terms:
-8 + 16x = 2(4 + 3x) + 2(4x + 3)
-8 + 16x = (4 * 2 + 3x * 2) + 2(4x + 3)
-8 + 16x = (8 + 6x) + 2(4x + 3)

Reorder the terms:
-8 + 16x = 8 + 6x + 2(3 + 4x)
-8 + 16x = 8 + 6x + (3 * 2 + 4x * 2)
-8 + 16x = 8 + 6x + (6 + 8x)

Reorder the terms:
-8 + 16x = 8 + 6 + 6x + 8x

Combine like terms: 8 + 6 = 14
-8 + 16x = 14 + 6x + 8x

Combine like terms: 6x + 8x = 14x
-8 + 16x = 14 + 14x

Solving
-8 + 16x = 14 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-8 + 16x + -14x = 14 + 14x + -14x

Combine like terms: 16x + -14x = 2x
-8 + 2x = 14 + 14x + -14x

Combine like terms: 14x + -14x = 0
-8 + 2x = 14 + 0
-8 + 2x = 14

Add '8' to each side of the equation.
-8 + 8 + 2x = 14 + 8

Combine like terms: -8 + 8 = 0
0 + 2x = 14 + 8
2x = 14 + 8

Combine like terms: 14 + 8 = 22
2x = 22

Divide each side by '2'.
x = 11

Simplifying
x = 11

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