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

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


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

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

Reorder the terms:
4 + 6x + -4(1 + 2x) = 3(x + 2) + w
4 + 6x + (1 * -4 + 2x * -4) = 3(x + 2) + w
4 + 6x + (-4 + -8x) = 3(x + 2) + w

Reorder the terms:
4 + -4 + 6x + -8x = 3(x + 2) + w

Combine like terms: 4 + -4 = 0
0 + 6x + -8x = 3(x + 2) + w
6x + -8x = 3(x + 2) + w

Combine like terms: 6x + -8x = -2x
-2x = 3(x + 2) + w

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

Reorder the terms:
-2x = 6 + w + 3x

Solving
-2x = 6 + w + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-2x + -3x = 6 + w + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-5x = 6 + w + 0
-5x = 6 + w

Divide each side by '-5'.
x = -1.2 + -0.2w

Simplifying
x = -1.2 + -0.2w

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