2(x-1)+4(x-3)=9

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Solution for 2(x-1)+4(x-3)=9 equation:


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

Reorder the terms:
2(-1 + x) + 4(x + -3) = 9
(-1 * 2 + x * 2) + 4(x + -3) = 9
(-2 + 2x) + 4(x + -3) = 9

Reorder the terms:
-2 + 2x + 4(-3 + x) = 9
-2 + 2x + (-3 * 4 + x * 4) = 9
-2 + 2x + (-12 + 4x) = 9

Reorder the terms:
-2 + -12 + 2x + 4x = 9

Combine like terms: -2 + -12 = -14
-14 + 2x + 4x = 9

Combine like terms: 2x + 4x = 6x
-14 + 6x = 9

Solving
-14 + 6x = 9

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 6x = 9 + 14

Combine like terms: -14 + 14 = 0
0 + 6x = 9 + 14
6x = 9 + 14

Combine like terms: 9 + 14 = 23
6x = 23

Divide each side by '6'.
x = 3.833333333

Simplifying
x = 3.833333333

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