3(x-4)-7(x+2)=-2(x+18)

Solution for 3(x-4)-7(x+2)=-2(x+18) equation:

Simplifying
3(x + -4) + -7(x + 2) = -2(x + 18)

Reorder the terms:
3(-4 + x) + -7(x + 2) = -2(x + 18)
(-4 * 3 + x * 3) + -7(x + 2) = -2(x + 18)
(-12 + 3x) + -7(x + 2) = -2(x + 18)

Reorder the terms:
-12 + 3x + -7(2 + x) = -2(x + 18)
-12 + 3x + (2 * -7 + x * -7) = -2(x + 18)
-12 + 3x + (-14 + -7x) = -2(x + 18)

Reorder the terms:
-12 + -14 + 3x + -7x = -2(x + 18)

Combine like terms: -12 + -14 = -26
-26 + 3x + -7x = -2(x + 18)

Combine like terms: 3x + -7x = -4x
-26 + -4x = -2(x + 18)

Reorder the terms:
-26 + -4x = -2(18 + x)
-26 + -4x = (18 * -2 + x * -2)
-26 + -4x = (-36 + -2x)

Solving
-26 + -4x = -36 + -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.
-26 + -4x + 2x = -36 + -2x + 2x

Combine like terms: -4x + 2x = -2x
-26 + -2x = -36 + -2x + 2x

Combine like terms: -2x + 2x = 0
-26 + -2x = -36 + 0
-26 + -2x = -36

Add '26' to each side of the equation.
-26 + 26 + -2x = -36 + 26

Combine like terms: -26 + 26 = 0
0 + -2x = -36 + 26
-2x = -36 + 26

Combine like terms: -36 + 26 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5