5x+2(x-3)=-4(1-2x)

Solution for 5x+2(x-3)=-4(1-2x) equation:

Simplifying
5x + 2(x + -3) = -4(1 + -2x)

Reorder the terms:
5x + 2(-3 + x) = -4(1 + -2x)
5x + (-3 * 2 + x * 2) = -4(1 + -2x)
5x + (-6 + 2x) = -4(1 + -2x)

Reorder the terms:
-6 + 5x + 2x = -4(1 + -2x)

Combine like terms: 5x + 2x = 7x
-6 + 7x = -4(1 + -2x)
-6 + 7x = (1 * -4 + -2x * -4)
-6 + 7x = (-4 + 8x)

Solving
-6 + 7x = -4 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-6 + 7x + -8x = -4 + 8x + -8x

Combine like terms: 7x + -8x = -1x
-6 + -1x = -4 + 8x + -8x

Combine like terms: 8x + -8x = 0
-6 + -1x = -4 + 0
-6 + -1x = -4

Add '6' to each side of the equation.
-6 + 6 + -1x = -4 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = -4 + 6
-1x = -4 + 6

Combine like terms: -4 + 6 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2