2(3x-4)+5(6x-7)=20

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Solution for 2(3x-4)+5(6x-7)=20 equation:


Simplifying
2(3x + -4) + 5(6x + -7) = 20

Reorder the terms:
2(-4 + 3x) + 5(6x + -7) = 20
(-4 * 2 + 3x * 2) + 5(6x + -7) = 20
(-8 + 6x) + 5(6x + -7) = 20

Reorder the terms:
-8 + 6x + 5(-7 + 6x) = 20
-8 + 6x + (-7 * 5 + 6x * 5) = 20
-8 + 6x + (-35 + 30x) = 20

Reorder the terms:
-8 + -35 + 6x + 30x = 20

Combine like terms: -8 + -35 = -43
-43 + 6x + 30x = 20

Combine like terms: 6x + 30x = 36x
-43 + 36x = 20

Solving
-43 + 36x = 20

Solving for variable 'x'.

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

Add '43' to each side of the equation.
-43 + 43 + 36x = 20 + 43

Combine like terms: -43 + 43 = 0
0 + 36x = 20 + 43
36x = 20 + 43

Combine like terms: 20 + 43 = 63
36x = 63

Divide each side by '36'.
x = 1.75

Simplifying
x = 1.75

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