4(x+2)=4x+6-(2x+3)

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


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

Reorder the terms:
4(2 + x) = 4x + 6 + -1(2x + 3)
(2 * 4 + x * 4) = 4x + 6 + -1(2x + 3)
(8 + 4x) = 4x + 6 + -1(2x + 3)

Reorder the terms:
8 + 4x = 4x + 6 + -1(3 + 2x)
8 + 4x = 4x + 6 + (3 * -1 + 2x * -1)
8 + 4x = 4x + 6 + (-3 + -2x)

Reorder the terms:
8 + 4x = 6 + -3 + 4x + -2x

Combine like terms: 6 + -3 = 3
8 + 4x = 3 + 4x + -2x

Combine like terms: 4x + -2x = 2x
8 + 4x = 3 + 2x

Solving
8 + 4x = 3 + 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.
8 + 4x + -2x = 3 + 2x + -2x

Combine like terms: 4x + -2x = 2x
8 + 2x = 3 + 2x + -2x

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

Add '-8' to each side of the equation.
8 + -8 + 2x = 3 + -8

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

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

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

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