7x+5(5x-14)=90

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Solution for 7x+5(5x-14)=90 equation:


Simplifying
7x + 5(5x + -14) = 90

Reorder the terms:
7x + 5(-14 + 5x) = 90
7x + (-14 * 5 + 5x * 5) = 90
7x + (-70 + 25x) = 90

Reorder the terms:
-70 + 7x + 25x = 90

Combine like terms: 7x + 25x = 32x
-70 + 32x = 90

Solving
-70 + 32x = 90

Solving for variable 'x'.

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

Add '70' to each side of the equation.
-70 + 70 + 32x = 90 + 70

Combine like terms: -70 + 70 = 0
0 + 32x = 90 + 70
32x = 90 + 70

Combine like terms: 90 + 70 = 160
32x = 160

Divide each side by '32'.
x = 5

Simplifying
x = 5

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