6x+4=-3(x-3)

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Solution for 6x+4=-3(x-3) equation:


Simplifying
6x + 4 = -3(x + -3)

Reorder the terms:
4 + 6x = -3(x + -3)

Reorder the terms:
4 + 6x = -3(-3 + x)
4 + 6x = (-3 * -3 + x * -3)
4 + 6x = (9 + -3x)

Solving
4 + 6x = 9 + -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.
4 + 6x + 3x = 9 + -3x + 3x

Combine like terms: 6x + 3x = 9x
4 + 9x = 9 + -3x + 3x

Combine like terms: -3x + 3x = 0
4 + 9x = 9 + 0
4 + 9x = 9

Add '-4' to each side of the equation.
4 + -4 + 9x = 9 + -4

Combine like terms: 4 + -4 = 0
0 + 9x = 9 + -4
9x = 9 + -4

Combine like terms: 9 + -4 = 5
9x = 5

Divide each side by '9'.
x = 0.5555555556

Simplifying
x = 0.5555555556

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