3(x+5)=(x*2)-4

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


Simplifying
3(x + 5) = (x * 2) + -4

Reorder the terms:
3(5 + x) = (x * 2) + -4
(5 * 3 + x * 3) = (x * 2) + -4
(15 + 3x) = (x * 2) + -4

Reorder the terms for easier multiplication:
15 + 3x = (2x) + -4

Reorder the terms:
15 + 3x = -4 + (2x)

Solving
15 + 3x = -4 + (2x)

Solving for variable 'x'.

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

Add '(-2x)' to each side of the equation.
15 + 3x + (-2x) = -4 + (2x) + (-2x)

Combine like terms: 3x + (-2x) = 1x
15 + 1x = -4 + (2x) + (-2x)

Combine like terms: (2x) + (-2x) = 0
15 + 1x = -4 + 0
15 + 1x = -4

Add '-15' to each side of the equation.
15 + -15 + 1x = -4 + -15

Combine like terms: 15 + -15 = 0
0 + 1x = -4 + -15
1x = -4 + -15

Combine like terms: -4 + -15 = -19
1x = -19

Divide each side by '1'.
x = -19

Simplifying
x = -19

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