3(x-3)+49=-2x

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Solution for 3(x-3)+49=-2x equation:


Simplifying
3(x + -3) + 49 = -2x

Reorder the terms:
3(-3 + x) + 49 = -2x
(-3 * 3 + x * 3) + 49 = -2x
(-9 + 3x) + 49 = -2x

Reorder the terms:
-9 + 49 + 3x = -2x

Combine like terms: -9 + 49 = 40
40 + 3x = -2x

Solving
40 + 3x = -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
40 + 3x + 2x = -2x + 2x

Combine like terms: 3x + 2x = 5x
40 + 5x = -2x + 2x

Combine like terms: -2x + 2x = 0
40 + 5x = 0

Add '-40' to each side of the equation.
40 + -40 + 5x = 0 + -40

Combine like terms: 40 + -40 = 0
0 + 5x = 0 + -40
5x = 0 + -40

Combine like terms: 0 + -40 = -40
5x = -40

Divide each side by '5'.
x = -8

Simplifying
x = -8

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