4(x+3)=2x+5-(x+2)

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


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

Reorder the terms:
4(3 + x) = 2x + 5 + -1(x + 2)
(3 * 4 + x * 4) = 2x + 5 + -1(x + 2)
(12 + 4x) = 2x + 5 + -1(x + 2)

Reorder the terms:
12 + 4x = 2x + 5 + -1(2 + x)
12 + 4x = 2x + 5 + (2 * -1 + x * -1)
12 + 4x = 2x + 5 + (-2 + -1x)

Reorder the terms:
12 + 4x = 5 + -2 + 2x + -1x

Combine like terms: 5 + -2 = 3
12 + 4x = 3 + 2x + -1x

Combine like terms: 2x + -1x = 1x
12 + 4x = 3 + 1x

Solving
12 + 4x = 3 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
12 + 4x + -1x = 3 + 1x + -1x

Combine like terms: 4x + -1x = 3x
12 + 3x = 3 + 1x + -1x

Combine like terms: 1x + -1x = 0
12 + 3x = 3 + 0
12 + 3x = 3

Add '-12' to each side of the equation.
12 + -12 + 3x = 3 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = 3 + -12
3x = 3 + -12

Combine like terms: 3 + -12 = -9
3x = -9

Divide each side by '3'.
x = -3

Simplifying
x = -3

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