6x-2(x+3x)=10-4(x+1)

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Solution for 6x-2(x+3x)=10-4(x+1) equation:


Simplifying
6x + -2(x + 3x) = 10 + -4(x + 1)

Combine like terms: x + 3x = 4x
6x + -2(4x) = 10 + -4(x + 1)

Remove parenthesis around (4x)
6x + -2 * 4x = 10 + -4(x + 1)

Multiply -2 * 4
6x + -8x = 10 + -4(x + 1)

Combine like terms: 6x + -8x = -2x
-2x = 10 + -4(x + 1)

Reorder the terms:
-2x = 10 + -4(1 + x)
-2x = 10 + (1 * -4 + x * -4)
-2x = 10 + (-4 + -4x)

Combine like terms: 10 + -4 = 6
-2x = 6 + -4x

Solving
-2x = 6 + -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.
-2x + 4x = 6 + -4x + 4x

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

Combine like terms: -4x + 4x = 0
2x = 6 + 0
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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