10x+9-3x=3(x-9)

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Solution for 10x+9-3x=3(x-9) equation:


Simplifying
10x + 9 + -3x = 3(x + -9)

Reorder the terms:
9 + 10x + -3x = 3(x + -9)

Combine like terms: 10x + -3x = 7x
9 + 7x = 3(x + -9)

Reorder the terms:
9 + 7x = 3(-9 + x)
9 + 7x = (-9 * 3 + x * 3)
9 + 7x = (-27 + 3x)

Solving
9 + 7x = -27 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
9 + 7x + -3x = -27 + 3x + -3x

Combine like terms: 7x + -3x = 4x
9 + 4x = -27 + 3x + -3x

Combine like terms: 3x + -3x = 0
9 + 4x = -27 + 0
9 + 4x = -27

Add '-9' to each side of the equation.
9 + -9 + 4x = -27 + -9

Combine like terms: 9 + -9 = 0
0 + 4x = -27 + -9
4x = -27 + -9

Combine like terms: -27 + -9 = -36
4x = -36

Divide each side by '4'.
x = -9

Simplifying
x = -9

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