3(x-4)+8(-x+1)=6

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Solution for 3(x-4)+8(-x+1)=6 equation:


Simplifying
3(x + -4) + 8(-1x + 1) = 6

Reorder the terms:
3(-4 + x) + 8(-1x + 1) = 6
(-4 * 3 + x * 3) + 8(-1x + 1) = 6
(-12 + 3x) + 8(-1x + 1) = 6

Reorder the terms:
-12 + 3x + 8(1 + -1x) = 6
-12 + 3x + (1 * 8 + -1x * 8) = 6
-12 + 3x + (8 + -8x) = 6

Reorder the terms:
-12 + 8 + 3x + -8x = 6

Combine like terms: -12 + 8 = -4
-4 + 3x + -8x = 6

Combine like terms: 3x + -8x = -5x
-4 + -5x = 6

Solving
-4 + -5x = 6

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 = 6 + 4

Combine like terms: -4 + 4 = 0
0 + -5x = 6 + 4
-5x = 6 + 4

Combine like terms: 6 + 4 = 10
-5x = 10

Divide each side by '-5'.
x = -2

Simplifying
x = -2

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