(7x-2)-(4x-7)=23

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Solution for (7x-2)-(4x-7)=23 equation:


Simplifying
(7x + -2) + -1(4x + -7) = 23

Reorder the terms:
(-2 + 7x) + -1(4x + -7) = 23

Remove parenthesis around (-2 + 7x)
-2 + 7x + -1(4x + -7) = 23

Reorder the terms:
-2 + 7x + -1(-7 + 4x) = 23
-2 + 7x + (-7 * -1 + 4x * -1) = 23
-2 + 7x + (7 + -4x) = 23

Reorder the terms:
-2 + 7 + 7x + -4x = 23

Combine like terms: -2 + 7 = 5
5 + 7x + -4x = 23

Combine like terms: 7x + -4x = 3x
5 + 3x = 23

Solving
5 + 3x = 23

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 3x = 23 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 23 + -5
3x = 23 + -5

Combine like terms: 23 + -5 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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