8x-3(2x-3)=-4(2-x)+3(x-4)-1

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Solution for 8x-3(2x-3)=-4(2-x)+3(x-4)-1 equation:


Simplifying
8x + -3(2x + -3) = -4(2 + -1x) + 3(x + -4) + -1

Reorder the terms:
8x + -3(-3 + 2x) = -4(2 + -1x) + 3(x + -4) + -1
8x + (-3 * -3 + 2x * -3) = -4(2 + -1x) + 3(x + -4) + -1
8x + (9 + -6x) = -4(2 + -1x) + 3(x + -4) + -1

Reorder the terms:
9 + 8x + -6x = -4(2 + -1x) + 3(x + -4) + -1

Combine like terms: 8x + -6x = 2x
9 + 2x = -4(2 + -1x) + 3(x + -4) + -1
9 + 2x = (2 * -4 + -1x * -4) + 3(x + -4) + -1
9 + 2x = (-8 + 4x) + 3(x + -4) + -1

Reorder the terms:
9 + 2x = -8 + 4x + 3(-4 + x) + -1
9 + 2x = -8 + 4x + (-4 * 3 + x * 3) + -1
9 + 2x = -8 + 4x + (-12 + 3x) + -1

Reorder the terms:
9 + 2x = -8 + -12 + -1 + 4x + 3x

Combine like terms: -8 + -12 = -20
9 + 2x = -20 + -1 + 4x + 3x

Combine like terms: -20 + -1 = -21
9 + 2x = -21 + 4x + 3x

Combine like terms: 4x + 3x = 7x
9 + 2x = -21 + 7x

Solving
9 + 2x = -21 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
9 + 2x + -7x = -21 + 7x + -7x

Combine like terms: 2x + -7x = -5x
9 + -5x = -21 + 7x + -7x

Combine like terms: 7x + -7x = 0
9 + -5x = -21 + 0
9 + -5x = -21

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

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

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

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

Simplifying
x = 6

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