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

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


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

Reorder the terms:
7x + 2(-5 + x) = 5(x + 2) + -3
7x + (-5 * 2 + x * 2) = 5(x + 2) + -3
7x + (-10 + 2x) = 5(x + 2) + -3

Reorder the terms:
-10 + 7x + 2x = 5(x + 2) + -3

Combine like terms: 7x + 2x = 9x
-10 + 9x = 5(x + 2) + -3

Reorder the terms:
-10 + 9x = 5(2 + x) + -3
-10 + 9x = (2 * 5 + x * 5) + -3
-10 + 9x = (10 + 5x) + -3

Reorder the terms:
-10 + 9x = 10 + -3 + 5x

Combine like terms: 10 + -3 = 7
-10 + 9x = 7 + 5x

Solving
-10 + 9x = 7 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-10 + 9x + -5x = 7 + 5x + -5x

Combine like terms: 9x + -5x = 4x
-10 + 4x = 7 + 5x + -5x

Combine like terms: 5x + -5x = 0
-10 + 4x = 7 + 0
-10 + 4x = 7

Add '10' to each side of the equation.
-10 + 10 + 4x = 7 + 10

Combine like terms: -10 + 10 = 0
0 + 4x = 7 + 10
4x = 7 + 10

Combine like terms: 7 + 10 = 17
4x = 17

Divide each side by '4'.
x = 4.25

Simplifying
x = 4.25

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