Answer:
x=2
Step-by-step explanation:Simplifying
4(2 + -1x) + 15 = 3(x + 3)
(2 * 4 + -1x * 4) + 15 = 3(x + 3)
(8 + -4x) + 15 = 3(x + 3)
Reorder the terms:
8 + 15 + -4x = 3(x + 3)
Combine like terms: 8 + 15 = 23
23 + -4x = 3(x + 3)
Reorder the terms:
23 + -4x = 3(3 + x)
23 + -4x = (3 * 3 + x * 3)
23 + -4x = (9 + 3x)
Solving
23 + -4x = 9 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
23 + -4x + -3x = 9 + 3x + -3x
Combine like terms: -4x + -3x = -7x
23 + -7x = 9 + 3x + -3x
Combine like terms: 3x + -3x = 0
23 + -7x = 9 + 0
23 + -7x = 9
Add '-23' to each side of the equation.
23 + -23 + -7x = 9 + -23
Combine like terms: 23 + -23 = 0
0 + -7x = 9 + -23
-7x = 9 + -23
Combine like terms: 9 + -23 = -14
-7x = -14
Divide each side by '-7'.
x = 2