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

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


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

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

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

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

Solving
5 + 3x = -2 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
5 + 3x + 4x = -2 + -4x + 4x

Combine like terms: 3x + 4x = 7x
5 + 7x = -2 + -4x + 4x

Combine like terms: -4x + 4x = 0
5 + 7x = -2 + 0
5 + 7x = -2

Add '-5' to each side of the equation.
5 + -5 + 7x = -2 + -5

Combine like terms: 5 + -5 = 0
0 + 7x = -2 + -5
7x = -2 + -5

Combine like terms: -2 + -5 = -7
7x = -7

Divide each side by '7'.
x = -1

Simplifying
x = -1

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