Answer
x=-2
Work Step by Step
Simplifying
5 + 3(x + 7) = 26 + -6(5x + 11)
Reorder the terms:
5 + 3(7 + x) = 26 + -6(5x + 11)
5 + (7 * 3 + x * 3) = 26 + -6(5x + 11)
5 + (21 + 3x) = 26 + -6(5x + 11)
Combine like terms: 5 + 21 = 26
26 + 3x = 26 + -6(5x + 11)
Reorder the terms:
26 + 3x = 26 + -6(11 + 5x)
26 + 3x = 26 + (11 * -6 + 5x * -6)
26 + 3x = 26 + (-66 + -30x)
Combine like terms: 26 + -66 = -40
26 + 3x = -40 + -30x
Solving
26 + 3x = -40 + -30x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '30x' to each side of the equation.
26 + 3x + 30x = -40 + -30x + 30x
Combine like terms: 3x + 30x = 33x
26 + 33x = -40 + -30x + 30x
Combine like terms: -30x + 30x = 0
26 + 33x = -40 + 0
26 + 33x = -40
Add '-26' to each side of the equation.
26 + -26 + 33x = -40 + -26
Combine like terms: 26 + -26 = 0
0 + 33x = -40 + -26
33x = -40 + -26
Combine like terms: -40 + -26 = -66
33x = -66
Divide each side by '33'.
x = -2
Simplifying
x = -2
