How do solve for x ?2/3(4x-6)=3x+2
I have to explain step by step in words after solving.
2/3(4x - 6) = 3x + 2
Multiply the terms inside the parentheses by 2/3
8/3 x - 4 = 3x + 2
Subtract 3x from both sides of the equation.
8/3 x - 4 - 3x = 3x + 2 - 3x
8/3 x - 3x - 4 = 2
Add 4 to both sides of the equation.
8/3 x - 3x - 4 + 4 = 2 + 4
8/3 x - 3x = 6
Convert the 3 in 3x to a fraction with 3 as the denominator.
8/3 x - 9/3 x = 6
Subtract the x terms.
-1/3 x = 6
Multiply both sides of the equation by -3.
(-1/3 x) * -3 = 6 * -3
x = -18
Check the answer.
2/3 * (4x - 6) = 3x + 2
2/3 * (4 * (-18) - 6) = 3 * (-18) + 2
2/3 * (-72 - 6) = -54 + 2
2/3 * (-78) = -52
-52 = -52