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

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


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

Reorder the terms:
4 + -3(-2 + x) + -2(x + -4) + 8 = -1
4 + (-2 * -3 + x * -3) + -2(x + -4) + 8 = -1
4 + (6 + -3x) + -2(x + -4) + 8 = -1

Reorder the terms:
4 + 6 + -3x + -2(-4 + x) + 8 = -1
4 + 6 + -3x + (-4 * -2 + x * -2) + 8 = -1
4 + 6 + -3x + (8 + -2x) + 8 = -1

Reorder the terms:
4 + 6 + 8 + 8 + -3x + -2x = -1

Combine like terms: 4 + 6 = 10
10 + 8 + 8 + -3x + -2x = -1

Combine like terms: 10 + 8 = 18
18 + 8 + -3x + -2x = -1

Combine like terms: 18 + 8 = 26
26 + -3x + -2x = -1

Combine like terms: -3x + -2x = -5x
26 + -5x = -1

Solving
26 + -5x = -1

Solving for variable 'x'.

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

Add '-26' to each side of the equation.
26 + -26 + -5x = -1 + -26

Combine like terms: 26 + -26 = 0
0 + -5x = -1 + -26
-5x = -1 + -26

Combine like terms: -1 + -26 = -27
-5x = -27

Divide each side by '-5'.
x = 5.4

Simplifying
x = 5.4

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