9=4(x-3)-(x-9)

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


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

Reorder the terms:
9 = 4(-3 + x) + -1(x + -9)
9 = (-3 * 4 + x * 4) + -1(x + -9)
9 = (-12 + 4x) + -1(x + -9)

Reorder the terms:
9 = -12 + 4x + -1(-9 + x)
9 = -12 + 4x + (-9 * -1 + x * -1)
9 = -12 + 4x + (9 + -1x)

Reorder the terms:
9 = -12 + 9 + 4x + -1x

Combine like terms: -12 + 9 = -3
9 = -3 + 4x + -1x

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

Solving
9 = -3 + 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 + -3x = -3 + 3x + -3x

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

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

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

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

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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