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

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


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

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

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

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

Combine like terms: -21 + -2 = -23
2 + 2x = -23 + 7x

Solving
2 + 2x = -23 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
2 + 2x + -7x = -23 + 7x + -7x

Combine like terms: 2x + -7x = -5x
2 + -5x = -23 + 7x + -7x

Combine like terms: 7x + -7x = 0
2 + -5x = -23 + 0
2 + -5x = -23

Add '-2' to each side of the equation.
2 + -2 + -5x = -23 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = -23 + -2
-5x = -23 + -2

Combine like terms: -23 + -2 = -25
-5x = -25

Divide each side by '-5'.
x = 5

Simplifying
x = 5

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