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

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


Simplifying
5 + -2(3 + -1x) = 9(x + -4)
5 + (3 * -2 + -1x * -2) = 9(x + -4)
5 + (-6 + 2x) = 9(x + -4)

Combine like terms: 5 + -6 = -1
-1 + 2x = 9(x + -4)

Reorder the terms:
-1 + 2x = 9(-4 + x)
-1 + 2x = (-4 * 9 + x * 9)
-1 + 2x = (-36 + 9x)

Solving
-1 + 2x = -36 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-1 + 2x + -9x = -36 + 9x + -9x

Combine like terms: 2x + -9x = -7x
-1 + -7x = -36 + 9x + -9x

Combine like terms: 9x + -9x = 0
-1 + -7x = -36 + 0
-1 + -7x = -36

Add '1' to each side of the equation.
-1 + 1 + -7x = -36 + 1

Combine like terms: -1 + 1 = 0
0 + -7x = -36 + 1
-7x = -36 + 1

Combine like terms: -36 + 1 = -35
-7x = -35

Divide each side by '-7'.
x = 5

Simplifying
x = 5

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