5(5x-3)-6(4x-2)=12-5

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Solution for 5(5x-3)-6(4x-2)=12-5 equation:


Simplifying
5(5x + -3) + -6(4x + -2) = 12 + -5

Reorder the terms:
5(-3 + 5x) + -6(4x + -2) = 12 + -5
(-3 * 5 + 5x * 5) + -6(4x + -2) = 12 + -5
(-15 + 25x) + -6(4x + -2) = 12 + -5

Reorder the terms:
-15 + 25x + -6(-2 + 4x) = 12 + -5
-15 + 25x + (-2 * -6 + 4x * -6) = 12 + -5
-15 + 25x + (12 + -24x) = 12 + -5

Reorder the terms:
-15 + 12 + 25x + -24x = 12 + -5

Combine like terms: -15 + 12 = -3
-3 + 25x + -24x = 12 + -5

Combine like terms: 25x + -24x = 1x
-3 + 1x = 12 + -5

Combine like terms: 12 + -5 = 7
-3 + 1x = 7

Solving
-3 + 1x = 7

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 + 1x = 7 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = 7 + 3
1x = 7 + 3

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

Divide each side by '1'.
x = 10

Simplifying
x = 10

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