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

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


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

Reorder the terms:
4(5 + 2x) = 2(3x + 5)
(5 * 4 + 2x * 4) = 2(3x + 5)
(20 + 8x) = 2(3x + 5)

Reorder the terms:
20 + 8x = 2(5 + 3x)
20 + 8x = (5 * 2 + 3x * 2)
20 + 8x = (10 + 6x)

Solving
20 + 8x = 10 + 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.
20 + 8x + -6x = 10 + 6x + -6x

Combine like terms: 8x + -6x = 2x
20 + 2x = 10 + 6x + -6x

Combine like terms: 6x + -6x = 0
20 + 2x = 10 + 0
20 + 2x = 10

Add '-20' to each side of the equation.
20 + -20 + 2x = 10 + -20

Combine like terms: 20 + -20 = 0
0 + 2x = 10 + -20
2x = 10 + -20

Combine like terms: 10 + -20 = -10
2x = -10

Divide each side by '2'.
x = -5

Simplifying
x = -5

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