8x-(2x+3)=-2(3-2x)+1

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Solution for 8x-(2x+3)=-2(3-2x)+1 equation:


Simplifying
8x + -1(2x + 3) = -2(3 + -2x) + 1

Reorder the terms:
8x + -1(3 + 2x) = -2(3 + -2x) + 1
8x + (3 * -1 + 2x * -1) = -2(3 + -2x) + 1
8x + (-3 + -2x) = -2(3 + -2x) + 1

Reorder the terms:
-3 + 8x + -2x = -2(3 + -2x) + 1

Combine like terms: 8x + -2x = 6x
-3 + 6x = -2(3 + -2x) + 1
-3 + 6x = (3 * -2 + -2x * -2) + 1
-3 + 6x = (-6 + 4x) + 1

Reorder the terms:
-3 + 6x = -6 + 1 + 4x

Combine like terms: -6 + 1 = -5
-3 + 6x = -5 + 4x

Solving
-3 + 6x = -5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-3 + 6x + -4x = -5 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-3 + 2x = -5 + 4x + -4x

Combine like terms: 4x + -4x = 0
-3 + 2x = -5 + 0
-3 + 2x = -5

Add '3' to each side of the equation.
-3 + 3 + 2x = -5 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = -5 + 3
2x = -5 + 3

Combine like terms: -5 + 3 = -2
2x = -2

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

Simplifying
x = -1

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