2(5x-1)-(4x+1)=5(x+4)-24

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Solution for 2(5x-1)-(4x+1)=5(x+4)-24 equation:


Simplifying
2(5x + -1) + -1(4x + 1) = 5(x + 4) + -24

Reorder the terms:
2(-1 + 5x) + -1(4x + 1) = 5(x + 4) + -24
(-1 * 2 + 5x * 2) + -1(4x + 1) = 5(x + 4) + -24
(-2 + 10x) + -1(4x + 1) = 5(x + 4) + -24

Reorder the terms:
-2 + 10x + -1(1 + 4x) = 5(x + 4) + -24
-2 + 10x + (1 * -1 + 4x * -1) = 5(x + 4) + -24
-2 + 10x + (-1 + -4x) = 5(x + 4) + -24

Reorder the terms:
-2 + -1 + 10x + -4x = 5(x + 4) + -24

Combine like terms: -2 + -1 = -3
-3 + 10x + -4x = 5(x + 4) + -24

Combine like terms: 10x + -4x = 6x
-3 + 6x = 5(x + 4) + -24

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

Reorder the terms:
-3 + 6x = 20 + -24 + 5x

Combine like terms: 20 + -24 = -4
-3 + 6x = -4 + 5x

Solving
-3 + 6x = -4 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-3 + 6x + -5x = -4 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-3 + 1x = -4 + 5x + -5x

Combine like terms: 5x + -5x = 0
-3 + 1x = -4 + 0
-3 + 1x = -4

Add '3' to each side of the equation.
-3 + 3 + 1x = -4 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = -4 + 3
1x = -4 + 3

Combine like terms: -4 + 3 = -1
1x = -1

Divide each side by '1'.
x = -1

Simplifying
x = -1

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