Answer
x=-9.2
Work Step by Step
Simplifying
12x + -13(x + 4) = 4x + -6
Reorder the terms:
12x + -13(4 + x) = 4x + -6
12x + (4 * -13 + x * -13) = 4x + -6
12x + (-52 + -13x) = 4x + -6
Reorder the terms:
-52 + 12x + -13x = 4x + -6
Combine like terms: 12x + -13x = -1x
-52 + -1x = 4x + -6
Reorder the terms:
-52 + -1x = -6 + 4x
Solving
-52 + -1x = -6 + 4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x' to each side of the equation.
-52 + -1x + -4x = -6 + 4x + -4x
Combine like terms: -1x + -4x = -5x
-52 + -5x = -6 + 4x + -4x
Combine like terms: 4x + -4x = 0
-52 + -5x = -6 + 0
-52 + -5x = -6
Add '52' to each side of the equation.
-52 + 52 + -5x = -6 + 52
Combine like terms: -52 + 52 = 0
0 + -5x = -6 + 52
-5x = -6 + 52
Combine like terms: -6 + 52 = 46
-5x = 46
Divide each side by '-5'.
x = -9.2
Simplifying
x = -9.2
