9x-4(5-2x)=-(3-x)

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Solution for 9x-4(5-2x)=-(3-x) equation:


Simplifying
9x + -4(5 + -2x) = -1(3 + -1x)
9x + (5 * -4 + -2x * -4) = -1(3 + -1x)
9x + (-20 + 8x) = -1(3 + -1x)

Reorder the terms:
-20 + 9x + 8x = -1(3 + -1x)

Combine like terms: 9x + 8x = 17x
-20 + 17x = -1(3 + -1x)
-20 + 17x = (3 * -1 + -1x * -1)
-20 + 17x = (-3 + 1x)

Solving
-20 + 17x = -3 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-20 + 17x + -1x = -3 + 1x + -1x

Combine like terms: 17x + -1x = 16x
-20 + 16x = -3 + 1x + -1x

Combine like terms: 1x + -1x = 0
-20 + 16x = -3 + 0
-20 + 16x = -3

Add '20' to each side of the equation.
-20 + 20 + 16x = -3 + 20

Combine like terms: -20 + 20 = 0
0 + 16x = -3 + 20
16x = -3 + 20

Combine like terms: -3 + 20 = 17
16x = 17

Divide each side by '16'.
x = 1.0625

Simplifying
x = 1.0625

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