7(x-1)+3(x+1)=20-4x

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Solution for 7(x-1)+3(x+1)=20-4x equation:


Simplifying
7(x + -1) + 3(x + 1) = 20 + -4x

Reorder the terms:
7(-1 + x) + 3(x + 1) = 20 + -4x
(-1 * 7 + x * 7) + 3(x + 1) = 20 + -4x
(-7 + 7x) + 3(x + 1) = 20 + -4x

Reorder the terms:
-7 + 7x + 3(1 + x) = 20 + -4x
-7 + 7x + (1 * 3 + x * 3) = 20 + -4x
-7 + 7x + (3 + 3x) = 20 + -4x

Reorder the terms:
-7 + 3 + 7x + 3x = 20 + -4x

Combine like terms: -7 + 3 = -4
-4 + 7x + 3x = 20 + -4x

Combine like terms: 7x + 3x = 10x
-4 + 10x = 20 + -4x

Solving
-4 + 10x = 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.
-4 + 10x + 4x = 20 + -4x + 4x

Combine like terms: 10x + 4x = 14x
-4 + 14x = 20 + -4x + 4x

Combine like terms: -4x + 4x = 0
-4 + 14x = 20 + 0
-4 + 14x = 20

Add '4' to each side of the equation.
-4 + 4 + 14x = 20 + 4

Combine like terms: -4 + 4 = 0
0 + 14x = 20 + 4
14x = 20 + 4

Combine like terms: 20 + 4 = 24
14x = 24

Divide each side by '14'.
x = 1.714285714

Simplifying
x = 1.714285714

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