15+2(x-10)=3(2x+1)-18

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Solution for 15+2(x-10)=3(2x+1)-18 equation:


Simplifying
15 + 2(x + -10) = 3(2x + 1) + -18

Reorder the terms:
15 + 2(-10 + x) = 3(2x + 1) + -18
15 + (-10 * 2 + x * 2) = 3(2x + 1) + -18
15 + (-20 + 2x) = 3(2x + 1) + -18

Combine like terms: 15 + -20 = -5
-5 + 2x = 3(2x + 1) + -18

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

Reorder the terms:
-5 + 2x = 3 + -18 + 6x

Combine like terms: 3 + -18 = -15
-5 + 2x = -15 + 6x

Solving
-5 + 2x = -15 + 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.
-5 + 2x + -6x = -15 + 6x + -6x

Combine like terms: 2x + -6x = -4x
-5 + -4x = -15 + 6x + -6x

Combine like terms: 6x + -6x = 0
-5 + -4x = -15 + 0
-5 + -4x = -15

Add '5' to each side of the equation.
-5 + 5 + -4x = -15 + 5

Combine like terms: -5 + 5 = 0
0 + -4x = -15 + 5
-4x = -15 + 5

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

Divide each side by '-4'.
x = 2.5

Simplifying
x = 2.5

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