1+4(x+2)=3x-(x+15)

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Solution for 1+4(x+2)=3x-(x+15) equation:


Simplifying
1 + 4(x + 2) = 3x + -1(x + 15)

Reorder the terms:
1 + 4(2 + x) = 3x + -1(x + 15)
1 + (2 * 4 + x * 4) = 3x + -1(x + 15)
1 + (8 + 4x) = 3x + -1(x + 15)

Combine like terms: 1 + 8 = 9
9 + 4x = 3x + -1(x + 15)

Reorder the terms:
9 + 4x = 3x + -1(15 + x)
9 + 4x = 3x + (15 * -1 + x * -1)
9 + 4x = 3x + (-15 + -1x)

Reorder the terms:
9 + 4x = -15 + 3x + -1x

Combine like terms: 3x + -1x = 2x
9 + 4x = -15 + 2x

Solving
9 + 4x = -15 + 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.
9 + 4x + -2x = -15 + 2x + -2x

Combine like terms: 4x + -2x = 2x
9 + 2x = -15 + 2x + -2x

Combine like terms: 2x + -2x = 0
9 + 2x = -15 + 0
9 + 2x = -15

Add '-9' to each side of the equation.
9 + -9 + 2x = -15 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = -15 + -9
2x = -15 + -9

Combine like terms: -15 + -9 = -24
2x = -24

Divide each side by '2'.
x = -12

Simplifying
x = -12

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