8(3x-2)-(4x-3)=6(4-x)

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Solution for 8(3x-2)-(4x-3)=6(4-x) equation:


Simplifying
8(3x + -2) + -1(4x + -3) = 6(4 + -1x)

Reorder the terms:
8(-2 + 3x) + -1(4x + -3) = 6(4 + -1x)
(-2 * 8 + 3x * 8) + -1(4x + -3) = 6(4 + -1x)
(-16 + 24x) + -1(4x + -3) = 6(4 + -1x)

Reorder the terms:
-16 + 24x + -1(-3 + 4x) = 6(4 + -1x)
-16 + 24x + (-3 * -1 + 4x * -1) = 6(4 + -1x)
-16 + 24x + (3 + -4x) = 6(4 + -1x)

Reorder the terms:
-16 + 3 + 24x + -4x = 6(4 + -1x)

Combine like terms: -16 + 3 = -13
-13 + 24x + -4x = 6(4 + -1x)

Combine like terms: 24x + -4x = 20x
-13 + 20x = 6(4 + -1x)
-13 + 20x = (4 * 6 + -1x * 6)
-13 + 20x = (24 + -6x)

Solving
-13 + 20x = 24 + -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.
-13 + 20x + 6x = 24 + -6x + 6x

Combine like terms: 20x + 6x = 26x
-13 + 26x = 24 + -6x + 6x

Combine like terms: -6x + 6x = 0
-13 + 26x = 24 + 0
-13 + 26x = 24

Add '13' to each side of the equation.
-13 + 13 + 26x = 24 + 13

Combine like terms: -13 + 13 = 0
0 + 26x = 24 + 13
26x = 24 + 13

Combine like terms: 24 + 13 = 37
26x = 37

Divide each side by '26'.
x = 1.423076923

Simplifying
x = 1.423076923

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