5(2x-4)-3(3x-7)=6

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Solution for 5(2x-4)-3(3x-7)=6 equation:


Simplifying
5(2x + -4) + -3(3x + -7) = 6

Reorder the terms:
5(-4 + 2x) + -3(3x + -7) = 6
(-4 * 5 + 2x * 5) + -3(3x + -7) = 6
(-20 + 10x) + -3(3x + -7) = 6

Reorder the terms:
-20 + 10x + -3(-7 + 3x) = 6
-20 + 10x + (-7 * -3 + 3x * -3) = 6
-20 + 10x + (21 + -9x) = 6

Reorder the terms:
-20 + 21 + 10x + -9x = 6

Combine like terms: -20 + 21 = 1
1 + 10x + -9x = 6

Combine like terms: 10x + -9x = 1x
1 + 1x = 6

Solving
1 + 1x = 6

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 1x = 6 + -1

Combine like terms: 1 + -1 = 0
0 + 1x = 6 + -1
1x = 6 + -1

Combine like terms: 6 + -1 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

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