x+4(x+2)=3(x+1)+25

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Solution for x+4(x+2)=3(x+1)+25 equation:


Simplifying
x + 4(x + 2) = 3(x + 1) + 25

Reorder the terms:
x + 4(2 + x) = 3(x + 1) + 25
x + (2 * 4 + x * 4) = 3(x + 1) + 25
x + (8 + 4x) = 3(x + 1) + 25

Reorder the terms:
8 + x + 4x = 3(x + 1) + 25

Combine like terms: x + 4x = 5x
8 + 5x = 3(x + 1) + 25

Reorder the terms:
8 + 5x = 3(1 + x) + 25
8 + 5x = (1 * 3 + x * 3) + 25
8 + 5x = (3 + 3x) + 25

Reorder the terms:
8 + 5x = 3 + 25 + 3x

Combine like terms: 3 + 25 = 28
8 + 5x = 28 + 3x

Solving
8 + 5x = 28 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
8 + 5x + -3x = 28 + 3x + -3x

Combine like terms: 5x + -3x = 2x
8 + 2x = 28 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + 2x = 28 + 0
8 + 2x = 28

Add '-8' to each side of the equation.
8 + -8 + 2x = 28 + -8

Combine like terms: 8 + -8 = 0
0 + 2x = 28 + -8
2x = 28 + -8

Combine like terms: 28 + -8 = 20
2x = 20

Divide each side by '2'.
x = 10

Simplifying
x = 10

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