-4(-5x+6)-4x=6(x-3)-1

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Solution for -4(-5x+6)-4x=6(x-3)-1 equation:


Simplifying
-4(-5x + 6) + -4x = 6(x + -3) + -1

Reorder the terms:
-4(6 + -5x) + -4x = 6(x + -3) + -1
(6 * -4 + -5x * -4) + -4x = 6(x + -3) + -1
(-24 + 20x) + -4x = 6(x + -3) + -1

Combine like terms: 20x + -4x = 16x
-24 + 16x = 6(x + -3) + -1

Reorder the terms:
-24 + 16x = 6(-3 + x) + -1
-24 + 16x = (-3 * 6 + x * 6) + -1
-24 + 16x = (-18 + 6x) + -1

Reorder the terms:
-24 + 16x = -18 + -1 + 6x

Combine like terms: -18 + -1 = -19
-24 + 16x = -19 + 6x

Solving
-24 + 16x = -19 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-24 + 16x + -6x = -19 + 6x + -6x

Combine like terms: 16x + -6x = 10x
-24 + 10x = -19 + 6x + -6x

Combine like terms: 6x + -6x = 0
-24 + 10x = -19 + 0
-24 + 10x = -19

Add '24' to each side of the equation.
-24 + 24 + 10x = -19 + 24

Combine like terms: -24 + 24 = 0
0 + 10x = -19 + 24
10x = -19 + 24

Combine like terms: -19 + 24 = 5
10x = 5

Divide each side by '10'.
x = 0.5

Simplifying
x = 0.5

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