2(4(1)+6)=5x+3(x+4)

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Solution for 2(4(1)+6)=5x+3(x+4) equation:


Simplifying
2(4(1) + 6) = 5x + 3(x + 4)

Multiply 4 * 1
2(4 + 6) = 5x + 3(x + 4)

Combine like terms: 4 + 6 = 10
2(10) = 5x + 3(x + 4)

Multiply 2 * 10
20 = 5x + 3(x + 4)

Reorder the terms:
20 = 5x + 3(4 + x)
20 = 5x + (4 * 3 + x * 3)
20 = 5x + (12 + 3x)

Reorder the terms:
20 = 12 + 5x + 3x

Combine like terms: 5x + 3x = 8x
20 = 12 + 8x

Solving
20 = 12 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
20 + -8x = 12 + 8x + -8x

Combine like terms: 8x + -8x = 0
20 + -8x = 12 + 0
20 + -8x = 12

Add '-20' to each side of the equation.
20 + -20 + -8x = 12 + -20

Combine like terms: 20 + -20 = 0
0 + -8x = 12 + -20
-8x = 12 + -20

Combine like terms: 12 + -20 = -8
-8x = -8

Divide each side by '-8'.
x = 1

Simplifying
x = 1

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