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

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


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

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

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

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

Reorder the terms:
-2 + 1x = 4(-5 + x)
-2 + 1x = (-5 * 4 + x * 4)
-2 + 1x = (-20 + 4x)

Solving
-2 + 1x = -20 + 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.
-2 + 1x + -4x = -20 + 4x + -4x

Combine like terms: 1x + -4x = -3x
-2 + -3x = -20 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2 + -3x = -20 + 0
-2 + -3x = -20

Add '2' to each side of the equation.
-2 + 2 + -3x = -20 + 2

Combine like terms: -2 + 2 = 0
0 + -3x = -20 + 2
-3x = -20 + 2

Combine like terms: -20 + 2 = -18
-3x = -18

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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