Hey there!
2/7(x + 4) = -6
2/7(x) + 2/7(4) = -6
2/7x + 8/7 = -6
SUBTRACT 8/7 to BOTH SIDES
2/7x + 8/7 - 8/7 = -6 - 8/7
CANCEL out: 8/7 - 8/7 because it gives you 0
KEEP: -6 - 8/7 because it helps solve for the x-value
NEW EQUATION: 2/7x = -6 - 8/7
SIMPLIFY IT!
2/7x = -50/7
MULTIPLY 7/2 to BOTH SIDES
7/2 * 2/7x = 7/2 * (-50/7)
CANCEL out: 7/2 * 2/7 because it gives you 1
KEEP: 7/2 * (-50/7) because it helps solve for the x-value
NEW EQUATION: x = 7/2 * (-50/7)
SIMPLIFY IT!
x = -25
Therefore, your answer is: x = -25
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)