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

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


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

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

Reorder the terms:
8 + 8x + -3(4 + x) = 7(2 + -8)
8 + 8x + (4 * -3 + x * -3) = 7(2 + -8)
8 + 8x + (-12 + -3x) = 7(2 + -8)

Reorder the terms:
8 + -12 + 8x + -3x = 7(2 + -8)

Combine like terms: 8 + -12 = -4
-4 + 8x + -3x = 7(2 + -8)

Combine like terms: 8x + -3x = 5x
-4 + 5x = 7(2 + -8)

Combine like terms: 2 + -8 = -6
-4 + 5x = 7(-6)

Multiply 7 * -6
-4 + 5x = -42

Solving
-4 + 5x = -42

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 5x = -42 + 4

Combine like terms: -4 + 4 = 0
0 + 5x = -42 + 4
5x = -42 + 4

Combine like terms: -42 + 4 = -38
5x = -38

Divide each side by '5'.
x = -7.6

Simplifying
x = -7.6

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