(3x-4)-(4x+10)=90

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Solution for (3x-4)-(4x+10)=90 equation:


Simplifying
(3x + -4) + -1(4x + 10) = 90

Reorder the terms:
(-4 + 3x) + -1(4x + 10) = 90

Remove parenthesis around (-4 + 3x)
-4 + 3x + -1(4x + 10) = 90

Reorder the terms:
-4 + 3x + -1(10 + 4x) = 90
-4 + 3x + (10 * -1 + 4x * -1) = 90
-4 + 3x + (-10 + -4x) = 90

Reorder the terms:
-4 + -10 + 3x + -4x = 90

Combine like terms: -4 + -10 = -14
-14 + 3x + -4x = 90

Combine like terms: 3x + -4x = -1x
-14 + -1x = 90

Solving
-14 + -1x = 90

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + -1x = 90 + 14

Combine like terms: -14 + 14 = 0
0 + -1x = 90 + 14
-1x = 90 + 14

Combine like terms: 90 + 14 = 104
-1x = 104

Divide each side by '-1'.
x = -104

Simplifying
x = -104

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