3(2x-1)-(5x-4)=-9

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Solution for 3(2x-1)-(5x-4)=-9 equation:


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

Reorder the terms:
3(-1 + 2x) + -1(5x + -4) = -9
(-1 * 3 + 2x * 3) + -1(5x + -4) = -9
(-3 + 6x) + -1(5x + -4) = -9

Reorder the terms:
-3 + 6x + -1(-4 + 5x) = -9
-3 + 6x + (-4 * -1 + 5x * -1) = -9
-3 + 6x + (4 + -5x) = -9

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

Combine like terms: -3 + 4 = 1
1 + 6x + -5x = -9

Combine like terms: 6x + -5x = 1x
1 + 1x = -9

Solving
1 + 1x = -9

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 1x = -9 + -1

Combine like terms: 1 + -1 = 0
0 + 1x = -9 + -1
1x = -9 + -1

Combine like terms: -9 + -1 = -10
1x = -10

Divide each side by '1'.
x = -10

Simplifying
x = -10

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