4(2-3x)-3(5x+6)=8x+5

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


Simplifying
4(2 + -3x) + -3(5x + 6) = 8x + 5
(2 * 4 + -3x * 4) + -3(5x + 6) = 8x + 5
(8 + -12x) + -3(5x + 6) = 8x + 5

Reorder the terms:
8 + -12x + -3(6 + 5x) = 8x + 5
8 + -12x + (6 * -3 + 5x * -3) = 8x + 5
8 + -12x + (-18 + -15x) = 8x + 5

Reorder the terms:
8 + -18 + -12x + -15x = 8x + 5

Combine like terms: 8 + -18 = -10
-10 + -12x + -15x = 8x + 5

Combine like terms: -12x + -15x = -27x
-10 + -27x = 8x + 5

Reorder the terms:
-10 + -27x = 5 + 8x

Solving
-10 + -27x = 5 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-10 + -27x + -8x = 5 + 8x + -8x

Combine like terms: -27x + -8x = -35x
-10 + -35x = 5 + 8x + -8x

Combine like terms: 8x + -8x = 0
-10 + -35x = 5 + 0
-10 + -35x = 5

Add '10' to each side of the equation.
-10 + 10 + -35x = 5 + 10

Combine like terms: -10 + 10 = 0
0 + -35x = 5 + 10
-35x = 5 + 10

Combine like terms: 5 + 10 = 15
-35x = 15

Divide each side by '-35'.
x = -0.4285714286

Simplifying
x = -0.4285714286

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