3x+4-5(x+1)=6x+2

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Solution for 3x+4-5(x+1)=6x+2 equation:


Simplifying
3x + 4 + -5(x + 1) = 6x + 2

Reorder the terms:
3x + 4 + -5(1 + x) = 6x + 2
3x + 4 + (1 * -5 + x * -5) = 6x + 2
3x + 4 + (-5 + -5x) = 6x + 2

Reorder the terms:
4 + -5 + 3x + -5x = 6x + 2

Combine like terms: 4 + -5 = -1
-1 + 3x + -5x = 6x + 2

Combine like terms: 3x + -5x = -2x
-1 + -2x = 6x + 2

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

Solving
-1 + -2x = 2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-1 + -2x + -6x = 2 + 6x + -6x

Combine like terms: -2x + -6x = -8x
-1 + -8x = 2 + 6x + -6x

Combine like terms: 6x + -6x = 0
-1 + -8x = 2 + 0
-1 + -8x = 2

Add '1' to each side of the equation.
-1 + 1 + -8x = 2 + 1

Combine like terms: -1 + 1 = 0
0 + -8x = 2 + 1
-8x = 2 + 1

Combine like terms: 2 + 1 = 3
-8x = 3

Divide each side by '-8'.
x = -0.375

Simplifying
x = -0.375

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