x-3=4(x-9)

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


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

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

Reorder the terms:
-3 + x = 4(-9 + x)
-3 + x = (-9 * 4 + x * 4)
-3 + x = (-36 + 4x)

Solving
-3 + x = -36 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-3 + x + -4x = -36 + 4x + -4x

Combine like terms: x + -4x = -3x
-3 + -3x = -36 + 4x + -4x

Combine like terms: 4x + -4x = 0
-3 + -3x = -36 + 0
-3 + -3x = -36

Add '3' to each side of the equation.
-3 + 3 + -3x = -36 + 3

Combine like terms: -3 + 3 = 0
0 + -3x = -36 + 3
-3x = -36 + 3

Combine like terms: -36 + 3 = -33
-3x = -33

Divide each side by '-3'.
x = 11

Simplifying
x = 11

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