4(x-3)+54=-3x

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Solution for 4(x-3)+54=-3x equation:


Simplifying
4(x + -3) + 54 = -3x

Reorder the terms:
4(-3 + x) + 54 = -3x
(-3 * 4 + x * 4) + 54 = -3x
(-12 + 4x) + 54 = -3x

Reorder the terms:
-12 + 54 + 4x = -3x

Combine like terms: -12 + 54 = 42
42 + 4x = -3x

Solving
42 + 4x = -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.
42 + 4x + 3x = -3x + 3x

Combine like terms: 4x + 3x = 7x
42 + 7x = -3x + 3x

Combine like terms: -3x + 3x = 0
42 + 7x = 0

Add '-42' to each side of the equation.
42 + -42 + 7x = 0 + -42

Combine like terms: 42 + -42 = 0
0 + 7x = 0 + -42
7x = 0 + -42

Combine like terms: 0 + -42 = -42
7x = -42

Divide each side by '7'.
x = -6

Simplifying
x = -6

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