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

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


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

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

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

Remove parenthesis around (1 + x)
4 + 2x = 1 + x + -3(x + -2)

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

Reorder the terms:
4 + 2x = 1 + 6 + x + -3x

Combine like terms: 1 + 6 = 7
4 + 2x = 7 + x + -3x

Combine like terms: x + -3x = -2x
4 + 2x = 7 + -2x

Solving
4 + 2x = 7 + -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.
4 + 2x + 2x = 7 + -2x + 2x

Combine like terms: 2x + 2x = 4x
4 + 4x = 7 + -2x + 2x

Combine like terms: -2x + 2x = 0
4 + 4x = 7 + 0
4 + 4x = 7

Add '-4' to each side of the equation.
4 + -4 + 4x = 7 + -4

Combine like terms: 4 + -4 = 0
0 + 4x = 7 + -4
4x = 7 + -4

Combine like terms: 7 + -4 = 3
4x = 3

Divide each side by '4'.
x = 0.75

Simplifying
x = 0.75

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