3(2+x)-8(2x-1)=3(x+1)-7(x-1)

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Solution for 3(2+x)-8(2x-1)=3(x+1)-7(x-1) equation: 


Simplifying
3(2 + x) + -8(2x + -1) = 3(x + 1) + -7(x + -1)
(2 * 3 + x * 3) + -8(2x + -1) = 3(x + 1) + -7(x + -1)
(6 + 3x) + -8(2x + -1) = 3(x + 1) + -7(x + -1)

Reorder the terms:
6 + 3x + -8(-1 + 2x) = 3(x + 1) + -7(x + -1)
6 + 3x + (-1 * -8 + 2x * -8) = 3(x + 1) + -7(x + -1)
6 + 3x + (8 + -16x) = 3(x + 1) + -7(x + -1)

Reorder the terms:
6 + 8 + 3x + -16x = 3(x + 1) + -7(x + -1)

Combine like terms: 6 + 8 = 14
14 + 3x + -16x = 3(x + 1) + -7(x + -1)

Combine like terms: 3x + -16x = -13x
14 + -13x = 3(x + 1) + -7(x + -1)

Reorder the terms:
14 + -13x = 3(1 + x) + -7(x + -1)
14 + -13x = (1 * 3 + x * 3) + -7(x + -1)
14 + -13x = (3 + 3x) + -7(x + -1)

Reorder the terms:
14 + -13x = 3 + 3x + -7(-1 + x)
14 + -13x = 3 + 3x + (-1 * -7 + x * -7)
14 + -13x = 3 + 3x + (7 + -7x)

Reorder the terms:
14 + -13x = 3 + 7 + 3x + -7x

Combine like terms: 3 + 7 = 10
14 + -13x = 10 + 3x + -7x

Combine like terms: 3x + -7x = -4x
14 + -13x = 10 + -4x

Solving
14 + -13x = 10 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
14 + -13x + 4x = 10 + -4x + 4x

Combine like terms: -13x + 4x = -9x
14 + -9x = 10 + -4x + 4x

Combine like terms: -4x + 4x = 0
14 + -9x = 10 + 0
14 + -9x = 10

Add '-14' to each side of the equation.
14 + -14 + -9x = 10 + -14

Combine like terms: 14 + -14 = 0
0 + -9x = 10 + -14
-9x = 10 + -14

Combine like terms: 10 + -14 = -4
-9x = -4

Divide each side by '-9'.
x = 0.4444444444

Simplifying
x = 0.4444444444

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