5x-2=6(5x+3)

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Solution for 5x-2=6(5x+3) equation:


Simplifying
5x + -2 = 6(5x + 3)

Reorder the terms:
-2 + 5x = 6(5x + 3)

Reorder the terms:
-2 + 5x = 6(3 + 5x)
-2 + 5x = (3 * 6 + 5x * 6)
-2 + 5x = (18 + 30x)

Solving
-2 + 5x = 18 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
-2 + 5x + -30x = 18 + 30x + -30x

Combine like terms: 5x + -30x = -25x
-2 + -25x = 18 + 30x + -30x

Combine like terms: 30x + -30x = 0
-2 + -25x = 18 + 0
-2 + -25x = 18

Add '2' to each side of the equation.
-2 + 2 + -25x = 18 + 2

Combine like terms: -2 + 2 = 0
0 + -25x = 18 + 2
-25x = 18 + 2

Combine like terms: 18 + 2 = 20
-25x = 20

Divide each side by '-25'.
x = -0.8

Simplifying
x = -0.8

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