5(2x-4)-3(4x+5)=97

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Solution for 5(2x-4)-3(4x+5)=97 equation:


Simplifying
5(2x + -4) + -3(4x + 5) = 97

Reorder the terms:
5(-4 + 2x) + -3(4x + 5) = 97
(-4 * 5 + 2x * 5) + -3(4x + 5) = 97
(-20 + 10x) + -3(4x + 5) = 97

Reorder the terms:
-20 + 10x + -3(5 + 4x) = 97
-20 + 10x + (5 * -3 + 4x * -3) = 97
-20 + 10x + (-15 + -12x) = 97

Reorder the terms:
-20 + -15 + 10x + -12x = 97

Combine like terms: -20 + -15 = -35
-35 + 10x + -12x = 97

Combine like terms: 10x + -12x = -2x
-35 + -2x = 97

Solving
-35 + -2x = 97

Solving for variable 'x'.

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

Add '35' to each side of the equation.
-35 + 35 + -2x = 97 + 35

Combine like terms: -35 + 35 = 0
0 + -2x = 97 + 35
-2x = 97 + 35

Combine like terms: 97 + 35 = 132
-2x = 132

Divide each side by '-2'.
x = -66

Simplifying
x = -66

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