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

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


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

Reorder the terms:
4(8 + 3x) = 8 + -1(2x + 1)
(8 * 4 + 3x * 4) = 8 + -1(2x + 1)
(32 + 12x) = 8 + -1(2x + 1)

Reorder the terms:
32 + 12x = 8 + -1(1 + 2x)
32 + 12x = 8 + (1 * -1 + 2x * -1)
32 + 12x = 8 + (-1 + -2x)

Combine like terms: 8 + -1 = 7
32 + 12x = 7 + -2x

Solving
32 + 12x = 7 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
32 + 12x + 2x = 7 + -2x + 2x

Combine like terms: 12x + 2x = 14x
32 + 14x = 7 + -2x + 2x

Combine like terms: -2x + 2x = 0
32 + 14x = 7 + 0
32 + 14x = 7

Add '-32' to each side of the equation.
32 + -32 + 14x = 7 + -32

Combine like terms: 32 + -32 = 0
0 + 14x = 7 + -32
14x = 7 + -32

Combine like terms: 7 + -32 = -25
14x = -25

Divide each side by '14'.
x = -1.785714286

Simplifying
x = -1.785714286

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