Simplifying
4(x + -3) = 7x + 24
Reorder the terms:
4(-3 + x) = 7x + 24
(-3 * 4 + x * 4) = 7x + 24
(-12 + 4x) = 7x + 24
Reorder the terms:
-12 + 4x = 24 + 7x
Solving
-12 + 4x = 24 + 7x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7x' to each side of the equation.
-12 + 4x + -7x = 24 + 7x + -7x
Combine like terms: 4x + -7x = -3x
-12 + -3x = 24 + 7x + -7x
Combine like terms: 7x + -7x = 0
-12 + -3x = 24 + 0
-12 + -3x = 24
Add '12' to each side of the equation.
-12 + 12 + -3x = 24 + 12
Combine like terms:
-12 + 12 = 0
0 + -3x = 24 + 12
-3x = 24 + 12
Combine like terms: 24 + 12 = 36
-3x = 36
Divide each side by '-3'.
x = -12
Simplifying
x = -12
