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

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


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

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

Reorder the terms:
-10 + -6x + 3(-7 + 4x) = 5
-10 + -6x + (-7 * 3 + 4x * 3) = 5
-10 + -6x + (-21 + 12x) = 5

Reorder the terms:
-10 + -21 + -6x + 12x = 5

Combine like terms: -10 + -21 = -31
-31 + -6x + 12x = 5

Combine like terms: -6x + 12x = 6x
-31 + 6x = 5

Solving
-31 + 6x = 5

Solving for variable 'x'.

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

Add '31' to each side of the equation.
-31 + 31 + 6x = 5 + 31

Combine like terms: -31 + 31 = 0
0 + 6x = 5 + 31
6x = 5 + 31

Combine like terms: 5 + 31 = 36
6x = 36

Divide each side by '6'.
x = 6

Simplifying
x = 6

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