2(3x-5)+(7-4x)=9

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Solution for 2(3x-5)+(7-4x)=9 equation:


Simplifying
2(3x + -5) + (7 + -4x) = 9

Reorder the terms:
2(-5 + 3x) + (7 + -4x) = 9
(-5 * 2 + 3x * 2) + (7 + -4x) = 9
(-10 + 6x) + (7 + -4x) = 9

Remove parenthesis around (7 + -4x)
-10 + 6x + 7 + -4x = 9

Reorder the terms:
-10 + 7 + 6x + -4x = 9

Combine like terms: -10 + 7 = -3
-3 + 6x + -4x = 9

Combine like terms: 6x + -4x = 2x
-3 + 2x = 9

Solving
-3 + 2x = 9

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 2x = 9 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = 9 + 3
2x = 9 + 3

Combine like terms: 9 + 3 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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