-3(x-3)-4(x-5)=6

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Solution for -3(x-3)-4(x-5)=6 equation:


Simplifying
-3(x + -3) + -4(x + -5) = 6

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

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

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

Combine like terms: 9 + 20 = 29
29 + -3x + -4x = 6

Combine like terms: -3x + -4x = -7x
29 + -7x = 6

Solving
29 + -7x = 6

Solving for variable 'x'.

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

Add '-29' to each side of the equation.
29 + -29 + -7x = 6 + -29

Combine like terms: 29 + -29 = 0
0 + -7x = 6 + -29
-7x = 6 + -29

Combine like terms: 6 + -29 = -23
-7x = -23

Divide each side by '-7'.
x = 3.285714286

Simplifying
x = 3.285714286

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