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

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


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

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

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

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

Reorder the terms:
-9 + 4x = 3(-9 + x)
-9 + 4x = (-9 * 3 + x * 3)
-9 + 4x = (-27 + 3x)

Solving
-9 + 4x = -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 + 4x + -3x = -27 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-9 + 1x = -27 + 3x + -3x

Combine like terms: 3x + -3x = 0
-9 + 1x = -27 + 0
-9 + 1x = -27

Add '9' to each side of the equation.
-9 + 9 + 1x = -27 + 9

Combine like terms: -9 + 9 = 0
0 + 1x = -27 + 9
1x = -27 + 9

Combine like terms: -27 + 9 = -18
1x = -18

Divide each side by '1'.
x = -18

Simplifying
x = -18

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