3(x+5)+1=2(x+5)+4

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Solution for 3(x+5)+1=2(x+5)+4 equation:


Simplifying
3(x + 5) + 1 = 2(x + 5) + 4

Reorder the terms:
3(5 + x) + 1 = 2(x + 5) + 4
(5 * 3 + x * 3) + 1 = 2(x + 5) + 4
(15 + 3x) + 1 = 2(x + 5) + 4

Reorder the terms:
15 + 1 + 3x = 2(x + 5) + 4

Combine like terms: 15 + 1 = 16
16 + 3x = 2(x + 5) + 4

Reorder the terms:
16 + 3x = 2(5 + x) + 4
16 + 3x = (5 * 2 + x * 2) + 4
16 + 3x = (10 + 2x) + 4

Reorder the terms:
16 + 3x = 10 + 4 + 2x

Combine like terms: 10 + 4 = 14
16 + 3x = 14 + 2x

Solving
16 + 3x = 14 + 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.
16 + 3x + -2x = 14 + 2x + -2x

Combine like terms: 3x + -2x = 1x
16 + 1x = 14 + 2x + -2x

Combine like terms: 2x + -2x = 0
16 + 1x = 14 + 0
16 + 1x = 14

Add '-16' to each side of the equation.
16 + -16 + 1x = 14 + -16

Combine like terms: 16 + -16 = 0
0 + 1x = 14 + -16
1x = 14 + -16

Combine like terms: 14 + -16 = -2
1x = -2

Divide each side by '1'.
x = -2

Simplifying
x = -2

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