3x-2(x-5)=7

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


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

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

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

Combine like terms: 3x + -2x = 1x
10 + 1x = 7

Solving
10 + 1x = 7

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 1x = 7 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = 7 + -10
1x = 7 + -10

Combine like terms: 7 + -10 = -3
1x = -3

Divide each side by '1'.
x = -3

Simplifying
x = -3

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