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

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


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

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

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

Combine like terms: 5 + 15 = 20
-6 + 2x = 20 + 6x

Solving
-6 + 2x = 20 + 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.
-6 + 2x + -6x = 20 + 6x + -6x

Combine like terms: 2x + -6x = -4x
-6 + -4x = 20 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + -4x = 20 + 0
-6 + -4x = 20

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

Combine like terms: -6 + 6 = 0
0 + -4x = 20 + 6
-4x = 20 + 6

Combine like terms: 20 + 6 = 26
-4x = 26

Divide each side by '-4'.
x = -6.5

Simplifying
x = -6.5

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