2(x+2)=7(x-3)-5

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Solution for 2(x+2)=7(x-3)-5 equation: 


Simplifying
2(x + 2) = 7(x + -3) + -5

Reorder the terms:
2(2 + x) = 7(x + -3) + -5
(2 * 2 + x * 2) = 7(x + -3) + -5
(4 + 2x) = 7(x + -3) + -5

Reorder the terms:
4 + 2x = 7(-3 + x) + -5
4 + 2x = (-3 * 7 + x * 7) + -5
4 + 2x = (-21 + 7x) + -5

Reorder the terms:
4 + 2x = -21 + -5 + 7x

Combine like terms: -21 + -5 = -26
4 + 2x = -26 + 7x

Solving
4 + 2x = -26 + 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.
4 + 2x + -7x = -26 + 7x + -7x

Combine like terms: 2x + -7x = -5x
4 + -5x = -26 + 7x + -7x

Combine like terms: 7x + -7x = 0
4 + -5x = -26 + 0
4 + -5x = -26

Add '-4' to each side of the equation.
4 + -4 + -5x = -26 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = -26 + -4
-5x = -26 + -4

Combine like terms: -26 + -4 = -30
-5x = -30

Divide each side by '-5'.
x = 6

Simplifying
x = 6

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