3x+4(5+x)=6(2+x)+20

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Solution for 3x+4(5+x)=6(2+x)+20 equation:


Simplifying
3x + 4(5 + x) = 6(2 + x) + 20
3x + (5 * 4 + x * 4) = 6(2 + x) + 20
3x + (20 + 4x) = 6(2 + x) + 20

Reorder the terms:
20 + 3x + 4x = 6(2 + x) + 20

Combine like terms: 3x + 4x = 7x
20 + 7x = 6(2 + x) + 20
20 + 7x = (2 * 6 + x * 6) + 20
20 + 7x = (12 + 6x) + 20

Reorder the terms:
20 + 7x = 12 + 20 + 6x

Combine like terms: 12 + 20 = 32
20 + 7x = 32 + 6x

Solving
20 + 7x = 32 + 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.
20 + 7x + -6x = 32 + 6x + -6x

Combine like terms: 7x + -6x = 1x
20 + 1x = 32 + 6x + -6x

Combine like terms: 6x + -6x = 0
20 + 1x = 32 + 0
20 + 1x = 32

Add '-20' to each side of the equation.
20 + -20 + 1x = 32 + -20

Combine like terms: 20 + -20 = 0
0 + 1x = 32 + -20
1x = 32 + -20

Combine like terms: 32 + -20 = 12
1x = 12

Divide each side by '1'.
x = 12

Simplifying
x = 12

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