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

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


Simplifying
5(x + -4) + -3(x + -9) = 0

Reorder the terms:
5(-4 + x) + -3(x + -9) = 0
(-4 * 5 + x * 5) + -3(x + -9) = 0
(-20 + 5x) + -3(x + -9) = 0

Reorder the terms:
-20 + 5x + -3(-9 + x) = 0
-20 + 5x + (-9 * -3 + x * -3) = 0
-20 + 5x + (27 + -3x) = 0

Reorder the terms:
-20 + 27 + 5x + -3x = 0

Combine like terms: -20 + 27 = 7
7 + 5x + -3x = 0

Combine like terms: 5x + -3x = 2x
7 + 2x = 0

Solving
7 + 2x = 0

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 0 + -7
2x = 0 + -7

Combine like terms: 0 + -7 = -7
2x = -7

Divide each side by '2'.
x = -3.5

Simplifying
x = -3.5

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