2(4x+1)-3(x-2)=4(x-5)

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Solution for 2(4x+1)-3(x-2)=4(x-5) equation:


Simplifying
2(4x + 1) + -3(x + -2) = 4(x + -5)

Reorder the terms:
2(1 + 4x) + -3(x + -2) = 4(x + -5)
(1 * 2 + 4x * 2) + -3(x + -2) = 4(x + -5)
(2 + 8x) + -3(x + -2) = 4(x + -5)

Reorder the terms:
2 + 8x + -3(-2 + x) = 4(x + -5)
2 + 8x + (-2 * -3 + x * -3) = 4(x + -5)
2 + 8x + (6 + -3x) = 4(x + -5)

Reorder the terms:
2 + 6 + 8x + -3x = 4(x + -5)

Combine like terms: 2 + 6 = 8
8 + 8x + -3x = 4(x + -5)

Combine like terms: 8x + -3x = 5x
8 + 5x = 4(x + -5)

Reorder the terms:
8 + 5x = 4(-5 + x)
8 + 5x = (-5 * 4 + x * 4)
8 + 5x = (-20 + 4x)

Solving
8 + 5x = -20 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
8 + 5x + -4x = -20 + 4x + -4x

Combine like terms: 5x + -4x = 1x
8 + 1x = -20 + 4x + -4x

Combine like terms: 4x + -4x = 0
8 + 1x = -20 + 0
8 + 1x = -20

Add '-8' to each side of the equation.
8 + -8 + 1x = -20 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = -20 + -8
1x = -20 + -8

Combine like terms: -20 + -8 = -28
1x = -28

Divide each side by '1'.
x = -28

Simplifying
x = -28

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