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

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


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

Reorder the terms:
3(4 + x) + -2(3x + -5) + 4x + -1 = 4(2x + -1) + -1(2x + 5)
(4 * 3 + x * 3) + -2(3x + -5) + 4x + -1 = 4(2x + -1) + -1(2x + 5)
(12 + 3x) + -2(3x + -5) + 4x + -1 = 4(2x + -1) + -1(2x + 5)

Reorder the terms:
12 + 3x + -2(-5 + 3x) + 4x + -1 = 4(2x + -1) + -1(2x + 5)
12 + 3x + (-5 * -2 + 3x * -2) + 4x + -1 = 4(2x + -1) + -1(2x + 5)
12 + 3x + (10 + -6x) + 4x + -1 = 4(2x + -1) + -1(2x + 5)

Reorder the terms:
12 + 10 + -1 + 3x + -6x + 4x = 4(2x + -1) + -1(2x + 5)

Combine like terms: 12 + 10 = 22
22 + -1 + 3x + -6x + 4x = 4(2x + -1) + -1(2x + 5)

Combine like terms: 22 + -1 = 21
21 + 3x + -6x + 4x = 4(2x + -1) + -1(2x + 5)

Combine like terms: 3x + -6x = -3x
21 + -3x + 4x = 4(2x + -1) + -1(2x + 5)

Combine like terms: -3x + 4x = 1x
21 + 1x = 4(2x + -1) + -1(2x + 5)

Reorder the terms:
21 + 1x = 4(-1 + 2x) + -1(2x + 5)
21 + 1x = (-1 * 4 + 2x * 4) + -1(2x + 5)
21 + 1x = (-4 + 8x) + -1(2x + 5)

Reorder the terms:
21 + 1x = -4 + 8x + -1(5 + 2x)
21 + 1x = -4 + 8x + (5 * -1 + 2x * -1)
21 + 1x = -4 + 8x + (-5 + -2x)

Reorder the terms:
21 + 1x = -4 + -5 + 8x + -2x

Combine like terms: -4 + -5 = -9
21 + 1x = -9 + 8x + -2x

Combine like terms: 8x + -2x = 6x
21 + 1x = -9 + 6x

Solving
21 + 1x = -9 + 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.
21 + 1x + -6x = -9 + 6x + -6x

Combine like terms: 1x + -6x = -5x
21 + -5x = -9 + 6x + -6x

Combine like terms: 6x + -6x = 0
21 + -5x = -9 + 0
21 + -5x = -9

Add '-21' to each side of the equation.
21 + -21 + -5x = -9 + -21

Combine like terms: 21 + -21 = 0
0 + -5x = -9 + -21
-5x = -9 + -21

Combine like terms: -9 + -21 = -30
-5x = -30

Divide each side by '-5'.
x = 6

Simplifying
x = 6

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