2(x-3)-4(x+2)=5(x-5)

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

Simplifying
2(x + -3) + -4(x + 2) = 5(x + -5)

Reorder the terms:
2(-3 + x) + -4(x + 2) = 5(x + -5)
(-3 * 2 + x * 2) + -4(x + 2) = 5(x + -5)
(-6 + 2x) + -4(x + 2) = 5(x + -5)

Reorder the terms:
-6 + 2x + -4(2 + x) = 5(x + -5)
-6 + 2x + (2 * -4 + x * -4) = 5(x + -5)
-6 + 2x + (-8 + -4x) = 5(x + -5)

Reorder the terms:
-6 + -8 + 2x + -4x = 5(x + -5)

Combine like terms: -6 + -8 = -14
-14 + 2x + -4x = 5(x + -5)

Combine like terms: 2x + -4x = -2x
-14 + -2x = 5(x + -5)

Reorder the terms:
-14 + -2x = 5(-5 + x)
-14 + -2x = (-5 * 5 + x * 5)
-14 + -2x = (-25 + 5x)

Solving
-14 + -2x = -25 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-14 + -2x + -5x = -25 + 5x + -5x

Combine like terms: -2x + -5x = -7x
-14 + -7x = -25 + 5x + -5x

Combine like terms: 5x + -5x = 0
-14 + -7x = -25 + 0
-14 + -7x = -25

Add '14' to each side of the equation.
-14 + 14 + -7x = -25 + 14

Combine like terms: -14 + 14 = 0
0 + -7x = -25 + 14
-7x = -25 + 14

Combine like terms: -25 + 14 = -11
-7x = -11

Divide each side by '-7'.
x = 1.571428571

Simplifying
x = 1.571428571