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

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


Simplifying
-3(x + -3) = 4(5 + -1x)

Reorder the terms:
-3(-3 + x) = 4(5 + -1x)
(-3 * -3 + x * -3) = 4(5 + -1x)
(9 + -3x) = 4(5 + -1x)
9 + -3x = (5 * 4 + -1x * 4)
9 + -3x = (20 + -4x)

Solving
9 + -3x = 20 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
9 + -3x + 4x = 20 + -4x + 4x

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

Combine like terms: -4x + 4x = 0
9 + 1x = 20 + 0
9 + 1x = 20

Add '-9' to each side of the equation.
9 + -9 + 1x = 20 + -9

Combine like terms: 9 + -9 = 0
0 + 1x = 20 + -9
1x = 20 + -9

Combine like terms: 20 + -9 = 11
1x = 11

Divide each side by '1'.
x = 11

Simplifying
x = 11

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