2(x-4)+(3x+5)=7

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Solution for 2(x-4)+(3x+5)=7 equation:


Simplifying
2(x + -4) + (3x + 5) = 7

Reorder the terms:
2(-4 + x) + (3x + 5) = 7
(-4 * 2 + x * 2) + (3x + 5) = 7
(-8 + 2x) + (3x + 5) = 7

Reorder the terms:
-8 + 2x + (5 + 3x) = 7

Remove parenthesis around (5 + 3x)
-8 + 2x + 5 + 3x = 7

Reorder the terms:
-8 + 5 + 2x + 3x = 7

Combine like terms: -8 + 5 = -3
-3 + 2x + 3x = 7

Combine like terms: 2x + 3x = 5x
-3 + 5x = 7

Solving
-3 + 5x = 7

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 5x = 7 + 3

Combine like terms: -3 + 3 = 0
0 + 5x = 7 + 3
5x = 7 + 3

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

Divide each side by '5'.
x = 2

Simplifying
x = 2

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