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

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


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

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

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

Reorder the terms:
2 + 3x + -2(-5 + 2x) = 7
2 + 3x + (-5 * -2 + 2x * -2) = 7
2 + 3x + (10 + -4x) = 7

Reorder the terms:
2 + 10 + 3x + -4x = 7

Combine like terms: 2 + 10 = 12
12 + 3x + -4x = 7

Combine like terms: 3x + -4x = -1x
12 + -1x = 7

Solving
12 + -1x = 7

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 7 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 7 + -12
-1x = 7 + -12

Combine like terms: 7 + -12 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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