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

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


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

Reorder the terms:
-3x + -5(-2 + x) = (-2x + 4) * 3
-3x + (-2 * -5 + x * -5) = (-2x + 4) * 3
-3x + (10 + -5x) = (-2x + 4) * 3

Reorder the terms:
10 + -3x + -5x = (-2x + 4) * 3

Combine like terms: -3x + -5x = -8x
10 + -8x = (-2x + 4) * 3

Reorder the terms:
10 + -8x = (4 + -2x) * 3

Reorder the terms for easier multiplication:
10 + -8x = 3(4 + -2x)
10 + -8x = (4 * 3 + -2x * 3)
10 + -8x = (12 + -6x)

Solving
10 + -8x = 12 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
10 + -8x + 6x = 12 + -6x + 6x

Combine like terms: -8x + 6x = -2x
10 + -2x = 12 + -6x + 6x

Combine like terms: -6x + 6x = 0
10 + -2x = 12 + 0
10 + -2x = 12

Add '-10' to each side of the equation.
10 + -10 + -2x = 12 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = 12 + -10
-2x = 12 + -10

Combine like terms: 12 + -10 = 2
-2x = 2

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

Simplifying
x = -1

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