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

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


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

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

Remove parenthesis around (2 + x)
2 + x = 4(2x + 3)

Reorder the terms:
2 + x = 4(3 + 2x)
2 + x = (3 * 4 + 2x * 4)
2 + x = (12 + 8x)

Solving
2 + x = 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.
2 + x + -8x = 12 + 8x + -8x

Combine like terms: x + -8x = -7x
2 + -7x = 12 + 8x + -8x

Combine like terms: 8x + -8x = 0
2 + -7x = 12 + 0
2 + -7x = 12

Add '-2' to each side of the equation.
2 + -2 + -7x = 12 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = 12 + -2
-7x = 12 + -2

Combine like terms: 12 + -2 = 10
-7x = 10

Divide each side by '-7'.
x = -1.428571429

Simplifying
x = -1.428571429

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