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

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


Simplifying
5(2 + -3x) + 6 = 2(5x + 3)
(2 * 5 + -3x * 5) + 6 = 2(5x + 3)
(10 + -15x) + 6 = 2(5x + 3)

Reorder the terms:
10 + 6 + -15x = 2(5x + 3)

Combine like terms: 10 + 6 = 16
16 + -15x = 2(5x + 3)

Reorder the terms:
16 + -15x = 2(3 + 5x)
16 + -15x = (3 * 2 + 5x * 2)
16 + -15x = (6 + 10x)

Solving
16 + -15x = 6 + 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.
16 + -15x + -10x = 6 + 10x + -10x

Combine like terms: -15x + -10x = -25x
16 + -25x = 6 + 10x + -10x

Combine like terms: 10x + -10x = 0
16 + -25x = 6 + 0
16 + -25x = 6

Add '-16' to each side of the equation.
16 + -16 + -25x = 6 + -16

Combine like terms: 16 + -16 = 0
0 + -25x = 6 + -16
-25x = 6 + -16

Combine like terms: 6 + -16 = -10
-25x = -10

Divide each side by '-25'.
x = 0.4

Simplifying
x = 0.4

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