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

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


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

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

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

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

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

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

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

Solving
-3 + 5x = 4 + 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.
-3 + 5x + -2x = 4 + 2x + -2x

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

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

Add '3' to each side of the equation.
-3 + 3 + 3x = 4 + 3

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

Combine like terms: 4 + 3 = 7
3x = 7

Divide each side by '3'.
x = 2.333333333

Simplifying
x = 2.333333333

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