8*(2x-1)-17*(3-x)=16*(-3x-2)

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Solution for 8*(2x-1)-17*(3-x)=16*(-3x-2) equation:


Simplifying
8(2x + -1) + -17(3 + -1x) = 16(-3x + -2)

Reorder the terms:
8(-1 + 2x) + -17(3 + -1x) = 16(-3x + -2)
(-1 * 8 + 2x * 8) + -17(3 + -1x) = 16(-3x + -2)
(-8 + 16x) + -17(3 + -1x) = 16(-3x + -2)
-8 + 16x + (3 * -17 + -1x * -17) = 16(-3x + -2)
-8 + 16x + (-51 + 17x) = 16(-3x + -2)

Reorder the terms:
-8 + -51 + 16x + 17x = 16(-3x + -2)

Combine like terms: -8 + -51 = -59
-59 + 16x + 17x = 16(-3x + -2)

Combine like terms: 16x + 17x = 33x
-59 + 33x = 16(-3x + -2)

Reorder the terms:
-59 + 33x = 16(-2 + -3x)
-59 + 33x = (-2 * 16 + -3x * 16)
-59 + 33x = (-32 + -48x)

Solving
-59 + 33x = -32 + -48x

Solving for variable 'x'.

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

Add '48x' to each side of the equation.
-59 + 33x + 48x = -32 + -48x + 48x

Combine like terms: 33x + 48x = 81x
-59 + 81x = -32 + -48x + 48x

Combine like terms: -48x + 48x = 0
-59 + 81x = -32 + 0
-59 + 81x = -32

Add '59' to each side of the equation.
-59 + 59 + 81x = -32 + 59

Combine like terms: -59 + 59 = 0
0 + 81x = -32 + 59
81x = -32 + 59

Combine like terms: -32 + 59 = 27
81x = 27

Divide each side by '81'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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