3x-4(x-5)=7

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


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

Reorder the terms:
3x + -4(-5 + x) = 7
3x + (-5 * -4 + x * -4) = 7
3x + (20 + -4x) = 7

Reorder the terms:
20 + 3x + -4x = 7

Combine like terms: 3x + -4x = -1x
20 + -1x = 7

Solving
20 + -1x = 7

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 7 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 7 + -20
-1x = 7 + -20

Combine like terms: 7 + -20 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13

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