6(3x-4)-3(3x-15)=2(4x+1)-1

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Solution for 6(3x-4)-3(3x-15)=2(4x+1)-1 equation:


Simplifying
6(3x + -4) + -3(3x + -15) = 2(4x + 1) + -1

Reorder the terms:
6(-4 + 3x) + -3(3x + -15) = 2(4x + 1) + -1
(-4 * 6 + 3x * 6) + -3(3x + -15) = 2(4x + 1) + -1
(-24 + 18x) + -3(3x + -15) = 2(4x + 1) + -1

Reorder the terms:
-24 + 18x + -3(-15 + 3x) = 2(4x + 1) + -1
-24 + 18x + (-15 * -3 + 3x * -3) = 2(4x + 1) + -1
-24 + 18x + (45 + -9x) = 2(4x + 1) + -1

Reorder the terms:
-24 + 45 + 18x + -9x = 2(4x + 1) + -1

Combine like terms: -24 + 45 = 21
21 + 18x + -9x = 2(4x + 1) + -1

Combine like terms: 18x + -9x = 9x
21 + 9x = 2(4x + 1) + -1

Reorder the terms:
21 + 9x = 2(1 + 4x) + -1
21 + 9x = (1 * 2 + 4x * 2) + -1
21 + 9x = (2 + 8x) + -1

Reorder the terms:
21 + 9x = 2 + -1 + 8x

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

Solving
21 + 9x = 1 + 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.
21 + 9x + -8x = 1 + 8x + -8x

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

Combine like terms: 8x + -8x = 0
21 + 1x = 1 + 0
21 + 1x = 1

Add '-21' to each side of the equation.
21 + -21 + 1x = 1 + -21

Combine like terms: 21 + -21 = 0
0 + 1x = 1 + -21
1x = 1 + -21

Combine like terms: 1 + -21 = -20
1x = -20

Divide each side by '1'.
x = -20

Simplifying
x = -20

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