Answer:
x=5
Step-by-step explanation:
Simplifying
5x + -1(x + 4) = 10 + -2(x + -8)
Reorder the terms:
5x + -1(4 + x) = 10 + -2(x + -8)
5x + (4 * -1 + x * -1) = 10 + -2(x + -8)
5x + (-4 + -1x) = 10 + -2(x + -8)
Reorder the terms:
-4 + 5x + -1x = 10 + -2(x + -8)
Combine like terms: 5x + -1x = 4x
-4 + 4x = 10 + -2(x + -8)
Reorder the terms:
-4 + 4x = 10 + -2(-8 + x)
-4 + 4x = 10 + (-8 * -2 + x * -2)
-4 + 4x = 10 + (16 + -2x)
Combine like terms: 10 + 16 = 26
-4 + 4x = 26 + -2x
Solving
-4 + 4x = 26 + -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.
-4 + 4x + 2x = 26 + -2x + 2x
Combine like terms: 4x + 2x = 6x
-4 + 6x = 26 + -2x + 2x
Combine like terms: -2x + 2x = 0
-4 + 6x = 26 + 0
-4 + 6x = 26
Add '4' to each side of the equation.
-4 + 4 + 6x = 26 + 4
Combine like terms: -4 + 4 = 0
0 + 6x = 26 + 4
6x = 26 + 4
Combine like terms: 26 + 4 = 30
6x = 30
Divide each side by '6'.
x = 5
Simplifying
x = 5
