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

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


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

Reorder the terms:
2(5 + 3x) = 5(2x + -4) + -4w
(5 * 2 + 3x * 2) = 5(2x + -4) + -4w
(10 + 6x) = 5(2x + -4) + -4w

Reorder the terms:
10 + 6x = 5(-4 + 2x) + -4w
10 + 6x = (-4 * 5 + 2x * 5) + -4w
10 + 6x = (-20 + 10x) + -4w

Reorder the terms:
10 + 6x = -20 + -4w + 10x

Solving
10 + 6x = -20 + -4w + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
10 + 6x + -10x = -20 + -4w + 10x + -10x

Combine like terms: 6x + -10x = -4x
10 + -4x = -20 + -4w + 10x + -10x

Combine like terms: 10x + -10x = 0
10 + -4x = -20 + -4w + 0
10 + -4x = -20 + -4w

Add '-10' to each side of the equation.
10 + -10 + -4x = -20 + -10 + -4w

Combine like terms: 10 + -10 = 0
0 + -4x = -20 + -10 + -4w
-4x = -20 + -10 + -4w

Combine like terms: -20 + -10 = -30
-4x = -30 + -4w

Divide each side by '-4'.
x = 7.5 + w

Simplifying
x = 7.5 + w

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