4x+5(x+6)=2(x+36)

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Solution for 4x+5(x+6)=2(x+36) equation:


Simplifying
4x + 5(x + 6) = 2(x + 36)

Reorder the terms:
4x + 5(6 + x) = 2(x + 36)
4x + (6 * 5 + x * 5) = 2(x + 36)
4x + (30 + 5x) = 2(x + 36)

Reorder the terms:
30 + 4x + 5x = 2(x + 36)

Combine like terms: 4x + 5x = 9x
30 + 9x = 2(x + 36)

Reorder the terms:
30 + 9x = 2(36 + x)
30 + 9x = (36 * 2 + x * 2)
30 + 9x = (72 + 2x)

Solving
30 + 9x = 72 + 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.
30 + 9x + -2x = 72 + 2x + -2x

Combine like terms: 9x + -2x = 7x
30 + 7x = 72 + 2x + -2x

Combine like terms: 2x + -2x = 0
30 + 7x = 72 + 0
30 + 7x = 72

Add '-30' to each side of the equation.
30 + -30 + 7x = 72 + -30

Combine like terms: 30 + -30 = 0
0 + 7x = 72 + -30
7x = 72 + -30

Combine like terms: 72 + -30 = 42
7x = 42

Divide each side by '7'.
x = 6

Simplifying
x = 6

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