x-3=4[x-6]

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Solution for x-3=4[x-6] equation:


Simplifying
x + -3 = 4[x + -6]

Reorder the terms:
-3 + x = 4[x + -6]

Reorder the terms:
-3 + x = 4[-6 + x]
-3 + x = [-6 * 4 + x * 4]
-3 + x = [-24 + 4x]

Solving
-3 + x = -24 + 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 = -24 + 4x + -4x

Combine like terms: x + -4x = -3x
-3 + -3x = -24 + 4x + -4x

Combine like terms: 4x + -4x = 0
-3 + -3x = -24 + 0
-3 + -3x = -24

Add '3' to each side of the equation.
-3 + 3 + -3x = -24 + 3

Combine like terms: -3 + 3 = 0
0 + -3x = -24 + 3
-3x = -24 + 3

Combine like terms: -24 + 3 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

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