8(x+4)-3(x+1)=7(2-x)

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Solution for 8(x+4)-3(x+1)=7(2-x) equation:


Simplifying
8(x + 4) + -3(x + 1) = 7(2 + -1x)

Reorder the terms:
8(4 + x) + -3(x + 1) = 7(2 + -1x)
(4 * 8 + x * 8) + -3(x + 1) = 7(2 + -1x)
(32 + 8x) + -3(x + 1) = 7(2 + -1x)

Reorder the terms:
32 + 8x + -3(1 + x) = 7(2 + -1x)
32 + 8x + (1 * -3 + x * -3) = 7(2 + -1x)
32 + 8x + (-3 + -3x) = 7(2 + -1x)

Reorder the terms:
32 + -3 + 8x + -3x = 7(2 + -1x)

Combine like terms: 32 + -3 = 29
29 + 8x + -3x = 7(2 + -1x)

Combine like terms: 8x + -3x = 5x
29 + 5x = 7(2 + -1x)
29 + 5x = (2 * 7 + -1x * 7)
29 + 5x = (14 + -7x)

Solving
29 + 5x = 14 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
29 + 5x + 7x = 14 + -7x + 7x

Combine like terms: 5x + 7x = 12x
29 + 12x = 14 + -7x + 7x

Combine like terms: -7x + 7x = 0
29 + 12x = 14 + 0
29 + 12x = 14

Add '-29' to each side of the equation.
29 + -29 + 12x = 14 + -29

Combine like terms: 29 + -29 = 0
0 + 12x = 14 + -29
12x = 14 + -29

Combine like terms: 14 + -29 = -15
12x = -15

Divide each side by '12'.
x = -1.25

Simplifying
x = -1.25

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