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

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Solution for 3(2-5)=6(x-4)+9 equation:


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

Combine like terms: 2 + -5 = -3
3(-3) = 6(x + -4) + 9

Multiply 3 * -3
-9 = 6(x + -4) + 9

Reorder the terms:
-9 = 6(-4 + x) + 9
-9 = (-4 * 6 + x * 6) + 9
-9 = (-24 + 6x) + 9

Reorder the terms:
-9 = -24 + 9 + 6x

Combine like terms: -24 + 9 = -15
-9 = -15 + 6x

Solving
-9 = -15 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-9 + -6x = -15 + 6x + -6x

Combine like terms: 6x + -6x = 0
-9 + -6x = -15 + 0
-9 + -6x = -15

Add '9' to each side of the equation.
-9 + 9 + -6x = -15 + 9

Combine like terms: -9 + 9 = 0
0 + -6x = -15 + 9
-6x = -15 + 9

Combine like terms: -15 + 9 = -6
-6x = -6

Divide each side by '-6'.
x = 1

Simplifying
x = 1

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