6(2x+3)=10-(4x-5)

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Solution for 6(2x+3)=10-(4x-5) equation: 


Simplifying
6(2x + 3) = 10 + -1(4x + -5)

Reorder the terms:
6(3 + 2x) = 10 + -1(4x + -5)
(3 * 6 + 2x * 6) = 10 + -1(4x + -5)
(18 + 12x) = 10 + -1(4x + -5)

Reorder the terms:
18 + 12x = 10 + -1(-5 + 4x)
18 + 12x = 10 + (-5 * -1 + 4x * -1)
18 + 12x = 10 + (5 + -4x)

Combine like terms: 10 + 5 = 15
18 + 12x = 15 + -4x

Solving
18 + 12x = 15 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
18 + 12x + 4x = 15 + -4x + 4x

Combine like terms: 12x + 4x = 16x
18 + 16x = 15 + -4x + 4x

Combine like terms: -4x + 4x = 0
18 + 16x = 15 + 0
18 + 16x = 15

Add '-18' to each side of the equation.
18 + -18 + 16x = 15 + -18

Combine like terms: 18 + -18 = 0
0 + 16x = 15 + -18
16x = 15 + -18

Combine like terms: 15 + -18 = -3
16x = -3

Divide each side by '16'.
x = -0.1875

Simplifying
x = -0.1875

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