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

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


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

Reorder the terms:
4(-3 + x) + 2(x + 3) = 2(x + 1)
(-3 * 4 + x * 4) + 2(x + 3) = 2(x + 1)
(-12 + 4x) + 2(x + 3) = 2(x + 1)

Reorder the terms:
-12 + 4x + 2(3 + x) = 2(x + 1)
-12 + 4x + (3 * 2 + x * 2) = 2(x + 1)
-12 + 4x + (6 + 2x) = 2(x + 1)

Reorder the terms:
-12 + 6 + 4x + 2x = 2(x + 1)

Combine like terms: -12 + 6 = -6
-6 + 4x + 2x = 2(x + 1)

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

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

Solving
-6 + 6x = 2 + 2x

Solving for variable 'x'.

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

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

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

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

Add '6' to each side of the equation.
-6 + 6 + 4x = 2 + 6

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

Combine like terms: 2 + 6 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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