2(5x+2)=2(9x+3)

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Solution for 2(5x+2)=2(9x+3) equation:


Simplifying
2(5x + 2) = 2(9x + 3)

Reorder the terms:
2(2 + 5x) = 2(9x + 3)
(2 * 2 + 5x * 2) = 2(9x + 3)
(4 + 10x) = 2(9x + 3)

Reorder the terms:
4 + 10x = 2(3 + 9x)
4 + 10x = (3 * 2 + 9x * 2)
4 + 10x = (6 + 18x)

Solving
4 + 10x = 6 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
4 + 10x + -18x = 6 + 18x + -18x

Combine like terms: 10x + -18x = -8x
4 + -8x = 6 + 18x + -18x

Combine like terms: 18x + -18x = 0
4 + -8x = 6 + 0
4 + -8x = 6

Add '-4' to each side of the equation.
4 + -4 + -8x = 6 + -4

Combine like terms: 4 + -4 = 0
0 + -8x = 6 + -4
-8x = 6 + -4

Combine like terms: 6 + -4 = 2
-8x = 2

Divide each side by '-8'.
x = -0.25

Simplifying
x = -0.25

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