3(X-7)-3(X+4)=4(5X-2)

Solution for 3(X-7)-3(X+4)=4(5X-2) equation:

Simplifying
3(X + -7) + -3(X + 4) = 4(5X + -2)

Reorder the terms:
3(-7 + X) + -3(X + 4) = 4(5X + -2)
(-7 * 3 + X * 3) + -3(X + 4) = 4(5X + -2)
(-21 + 3X) + -3(X + 4) = 4(5X + -2)

Reorder the terms:
-21 + 3X + -3(4 + X) = 4(5X + -2)
-21 + 3X + (4 * -3 + X * -3) = 4(5X + -2)
-21 + 3X + (-12 + -3X) = 4(5X + -2)

Reorder the terms:
-21 + -12 + 3X + -3X = 4(5X + -2)

Combine like terms: -21 + -12 = -33
-33 + 3X + -3X = 4(5X + -2)

Combine like terms: 3X + -3X = 0
-33 + 0 = 4(5X + -2)
-33 = 4(5X + -2)

Reorder the terms:
-33 = 4(-2 + 5X)
-33 = (-2 * 4 + 5X * 4)
-33 = (-8 + 20X)

Solving
-33 = -8 + 20X

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-20X' to each side of the equation.
-33 + -20X = -8 + 20X + -20X

Combine like terms: 20X + -20X = 0
-33 + -20X = -8 + 0
-33 + -20X = -8

Add '33' to each side of the equation.
-33 + 33 + -20X = -8 + 33

Combine like terms: -33 + 33 = 0
0 + -20X = -8 + 33
-20X = -8 + 33

Combine like terms: -8 + 33 = 25
-20X = 25

Divide each side by '-20'.
X = -1.25

Simplifying
X = -1.25