3x-4=-2(3x+5)
3x-4=-2(3x+5)
clear the fraction.
3x-4=-6x-10
add+6x+4 to both sides.
3x-4+6x+4=-6x-10+6x+4
9x=+4-10
Can you take it from here?
3x-4=-6x-10
9x=-6
x=-2/3
To solve the equation 3x-4=-2(3x+5), you can follow these steps:
1. Distribute the -2 to the terms inside the parentheses:
3x-4 = -2 * 3x - 2 * 5
Simplifying the right side:
3x-4 = -6x - 10
2. To clear the fraction, you need to get rid of the parentheses by distributing the -2 to both terms inside:
3x - 4 = -6x - 10
3. Next, you can simplify the equation by combining like terms. Add 6x to both sides of the equation:
3x + 6x - 4 = -6x + 6x - 10
This simplifies to:
9x - 4 = -10
4. To isolate x, you can add 4 to both sides of the equation:
9x - 4 + 4 = -10 + 4
Simplifying both sides:
9x = -6
5. To solve for x, divide both sides of the equation by 9:
(9x) / 9 = (-6) / 9
Simplifying:
x = -2/3
Therefore, the solution to the equation 3x-4=-2(3x+5) is x = -2/3.