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

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


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

Reorder the terms:
3(-3 + x) + 51 = -4x
(-3 * 3 + x * 3) + 51 = -4x
(-9 + 3x) + 51 = -4x

Reorder the terms:
-9 + 51 + 3x = -4x

Combine like terms: -9 + 51 = 42
42 + 3x = -4x

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

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

Combine like terms: -4x + 4x = 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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