Answer
x=-7
Work Step by Step
Simplifying
16(x + 3) = 7(x + -5) + -9(x + 4) + -7
Reorder the terms:
16(3 + x) = 7(x + -5) + -9(x + 4) + -7
(3 * 16 + x * 16) = 7(x + -5) + -9(x + 4) + -7
(48 + 16x) = 7(x + -5) + -9(x + 4) + -7
Reorder the terms:
48 + 16x = 7(-5 + x) + -9(x + 4) + -7
48 + 16x = (-5 * 7 + x * 7) + -9(x + 4) + -7
48 + 16x = (-35 + 7x) + -9(x + 4) + -7
Reorder the terms:
48 + 16x = -35 + 7x + -9(4 + x) + -7
48 + 16x = -35 + 7x + (4 * -9 + x * -9) + -7
48 + 16x = -35 + 7x + (-36 + -9x) + -7
Reorder the terms:
48 + 16x = -35 + -36 + -7 + 7x + -9x
Combine like terms: -35 + -36 = -71
48 + 16x = -71 + -7 + 7x + -9x
Combine like terms: -71 + -7 = -78
48 + 16x = -78 + 7x + -9x
Combine like terms: 7x + -9x = -2x
48 + 16x = -78 + -2x
Solving
48 + 16x = -78 + -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.
48 + 16x + 2x = -78 + -2x + 2x
Combine like terms: 16x + 2x = 18x
48 + 18x = -78 + -2x + 2x
Combine like terms: -2x + 2x = 0
48 + 18x = -78 + 0
48 + 18x = -78
Add '-48' to each side of the equation.
48 + -48 + 18x = -78 + -48
Combine like terms: 48 + -48 = 0
0 + 18x = -78 + -48
18x = -78 + -48
Combine like terms: -78 + -48 = -126
18x = -126
Divide each side by '18'.
x = -7
Simplifying
x = -7
