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

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


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

Reorder the terms:
6 + -3x + -4(-5 + x) = -9
6 + -3x + (-5 * -4 + x * -4) = -9
6 + -3x + (20 + -4x) = -9

Reorder the terms:
6 + 20 + -3x + -4x = -9

Combine like terms: 6 + 20 = 26
26 + -3x + -4x = -9

Combine like terms: -3x + -4x = -7x
26 + -7x = -9

Solving
26 + -7x = -9

Solving for variable 'x'.

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

Add '-26' to each side of the equation.
26 + -26 + -7x = -9 + -26

Combine like terms: 26 + -26 = 0
0 + -7x = -9 + -26
-7x = -9 + -26

Combine like terms: -9 + -26 = -35
-7x = -35

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

Simplifying
x = 5

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