x+15=4x+2(x+1)

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Solution for x+15=4x+2(x+1) equation:


Simplifying
x + 15 = 4x + 2(x + 1)

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

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

Reorder the terms:
15 + x = 2 + 4x + 2x

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

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

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

Combine like terms: 6x + -6x = 0
15 + -5x = 2 + 0
15 + -5x = 2

Add '-15' to each side of the equation.
15 + -15 + -5x = 2 + -15

Combine like terms: 15 + -15 = 0
0 + -5x = 2 + -15
-5x = 2 + -15

Combine like terms: 2 + -15 = -13
-5x = -13

Divide each side by '-5'.
x = 2.6

Simplifying
x = 2.6

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