6+2(3x-5)=9-5(2x+1)

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Solution for 6+2(3x-5)=9-5(2x+1) equation:


Simplifying
6 + 2(3x + -5) = 9 + -5(2x + 1)

Reorder the terms:
6 + 2(-5 + 3x) = 9 + -5(2x + 1)
6 + (-5 * 2 + 3x * 2) = 9 + -5(2x + 1)
6 + (-10 + 6x) = 9 + -5(2x + 1)

Combine like terms: 6 + -10 = -4
-4 + 6x = 9 + -5(2x + 1)

Reorder the terms:
-4 + 6x = 9 + -5(1 + 2x)
-4 + 6x = 9 + (1 * -5 + 2x * -5)
-4 + 6x = 9 + (-5 + -10x)

Combine like terms: 9 + -5 = 4
-4 + 6x = 4 + -10x

Solving
-4 + 6x = 4 + -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.
-4 + 6x + 10x = 4 + -10x + 10x

Combine like terms: 6x + 10x = 16x
-4 + 16x = 4 + -10x + 10x

Combine like terms: -10x + 10x = 0
-4 + 16x = 4 + 0
-4 + 16x = 4

Add '4' to each side of the equation.
-4 + 4 + 16x = 4 + 4

Combine like terms: -4 + 4 = 0
0 + 16x = 4 + 4
16x = 4 + 4

Combine like terms: 4 + 4 = 8
16x = 8

Divide each side by '16'.
x = 0.5

Simplifying
x = 0.5

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