(6x-7)-(4x-10)=23

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Solution for (6x-7)-(4x-10)=23 equation:


Simplifying
(6x + -7) + -1(4x + -10) = 23

Reorder the terms:
(-7 + 6x) + -1(4x + -10) = 23

Remove parenthesis around (-7 + 6x)
-7 + 6x + -1(4x + -10) = 23

Reorder the terms:
-7 + 6x + -1(-10 + 4x) = 23
-7 + 6x + (-10 * -1 + 4x * -1) = 23
-7 + 6x + (10 + -4x) = 23

Reorder the terms:
-7 + 10 + 6x + -4x = 23

Combine like terms: -7 + 10 = 3
3 + 6x + -4x = 23

Combine like terms: 6x + -4x = 2x
3 + 2x = 23

Solving
3 + 2x = 23

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 + 2x = 23 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 23 + -3
2x = 23 + -3

Combine like terms: 23 + -3 = 20
2x = 20

Divide each side by '2'.
x = 10

Simplifying
x = 10

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