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

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


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

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

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

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

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

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

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

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

Combine like terms: 4x + -4x = 0
-3 + -8x = 2 + 0
-3 + -8x = 2

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

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

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

Divide each side by '-8'.
x = -0.625

Simplifying
x = -0.625

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