5(3-2x)-8x-3(4x-10)-1=6-3(x-2)-4

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Solution for 5(3-2x)-8x-3(4x-10)-1=6-3(x-2)-4 equation: 


Simplifying
5(3 + -2x) + -8x + -3(4x + -10) + -1 = 6 + -3(x + -2) + -4
(3 * 5 + -2x * 5) + -8x + -3(4x + -10) + -1 = 6 + -3(x + -2) + -4
(15 + -10x) + -8x + -3(4x + -10) + -1 = 6 + -3(x + -2) + -4

Reorder the terms:
15 + -10x + -8x + -3(-10 + 4x) + -1 = 6 + -3(x + -2) + -4
15 + -10x + -8x + (-10 * -3 + 4x * -3) + -1 = 6 + -3(x + -2) + -4
15 + -10x + -8x + (30 + -12x) + -1 = 6 + -3(x + -2) + -4

Reorder the terms:
15 + 30 + -1 + -10x + -8x + -12x = 6 + -3(x + -2) + -4

Combine like terms: 15 + 30 = 45
45 + -1 + -10x + -8x + -12x = 6 + -3(x + -2) + -4

Combine like terms: 45 + -1 = 44
44 + -10x + -8x + -12x = 6 + -3(x + -2) + -4

Combine like terms: -10x + -8x = -18x
44 + -18x + -12x = 6 + -3(x + -2) + -4

Combine like terms: -18x + -12x = -30x
44 + -30x = 6 + -3(x + -2) + -4

Reorder the terms:
44 + -30x = 6 + -3(-2 + x) + -4
44 + -30x = 6 + (-2 * -3 + x * -3) + -4
44 + -30x = 6 + (6 + -3x) + -4

Reorder the terms:
44 + -30x = 6 + 6 + -4 + -3x

Combine like terms: 6 + 6 = 12
44 + -30x = 12 + -4 + -3x

Combine like terms: 12 + -4 = 8
44 + -30x = 8 + -3x

Solving
44 + -30x = 8 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
44 + -30x + 3x = 8 + -3x + 3x

Combine like terms: -30x + 3x = -27x
44 + -27x = 8 + -3x + 3x

Combine like terms: -3x + 3x = 0
44 + -27x = 8 + 0
44 + -27x = 8

Add '-44' to each side of the equation.
44 + -44 + -27x = 8 + -44

Combine like terms: 44 + -44 = 0
0 + -27x = 8 + -44
-27x = 8 + -44

Combine like terms: 8 + -44 = -36
-27x = -36

Divide each side by '-27'.
x = 1.333333333

Simplifying
x = 1.333333333

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