4(x-3)=51-3x

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Solution for 4(x-3)=51-3x equation:


Simplifying
4(x + -3) = 51 + -3x

Reorder the terms:
4(-3 + x) = 51 + -3x
(-3 * 4 + x * 4) = 51 + -3x
(-12 + 4x) = 51 + -3x

Solving
-12 + 4x = 51 + -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.
-12 + 4x + 3x = 51 + -3x + 3x

Combine like terms: 4x + 3x = 7x
-12 + 7x = 51 + -3x + 3x

Combine like terms: -3x + 3x = 0
-12 + 7x = 51 + 0
-12 + 7x = 51

Add '12' to each side of the equation.
-12 + 12 + 7x = 51 + 12

Combine like terms: -12 + 12 = 0
0 + 7x = 51 + 12
7x = 51 + 12

Combine like terms: 51 + 12 = 63
7x = 63

Divide each side by '7'.
x = 9

Simplifying
x = 9

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