7(x-1)+3(x+1)=21-2x

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Solution for 7(x-1)+3(x+1)=21-2x equation:


Simplifying
7(x + -1) + 3(x + 1) = 21 + -2x

Reorder the terms:
7(-1 + x) + 3(x + 1) = 21 + -2x
(-1 * 7 + x * 7) + 3(x + 1) = 21 + -2x
(-7 + 7x) + 3(x + 1) = 21 + -2x

Reorder the terms:
-7 + 7x + 3(1 + x) = 21 + -2x
-7 + 7x + (1 * 3 + x * 3) = 21 + -2x
-7 + 7x + (3 + 3x) = 21 + -2x

Reorder the terms:
-7 + 3 + 7x + 3x = 21 + -2x

Combine like terms: -7 + 3 = -4
-4 + 7x + 3x = 21 + -2x

Combine like terms: 7x + 3x = 10x
-4 + 10x = 21 + -2x

Solving
-4 + 10x = 21 + -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.
-4 + 10x + 2x = 21 + -2x + 2x

Combine like terms: 10x + 2x = 12x
-4 + 12x = 21 + -2x + 2x

Combine like terms: -2x + 2x = 0
-4 + 12x = 21 + 0
-4 + 12x = 21

Add '4' to each side of the equation.
-4 + 4 + 12x = 21 + 4

Combine like terms: -4 + 4 = 0
0 + 12x = 21 + 4
12x = 21 + 4

Combine like terms: 21 + 4 = 25
12x = 25

Divide each side by '12'.
x = 2.083333333

Simplifying
x = 2.083333333

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