Answer:
x=−12
Step-by-step explanation:
Simplifying
x + 7 + -4x = 19 + -2x
Reorder the terms:
7 + x + -4x = 19 + -2x
Combine like terms: x + -4x = -3x
7 + -3x = 19 + -2x
Solving
7 + -3x = 19 + -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.
7 + -3x + 2x = 19 + -2x + 2x
Combine like terms: -3x + 2x = -1x
7 + -1x = 19 + -2x + 2x
Combine like terms: -2x + 2x = 0
7 + -1x = 19 + 0
7 + -1x = 19
Add '-7' to each side of the equation.
7 + -7 + -1x = 19 + -7
Combine like terms: 7 + -7 = 0
0 + -1x = 19 + -7
-1x = 19 + -7
Combine like terms: 19 + -7 = 12
-1x = 12
Divide each side by '-1'.
x = -12