5(4x+7)-3(5-2x)=98

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Solution for 5(4x+7)-3(5-2x)=98 equation:


Simplifying
5(4x + 7) + -3(5 + -2x) = 98

Reorder the terms:
5(7 + 4x) + -3(5 + -2x) = 98
(7 * 5 + 4x * 5) + -3(5 + -2x) = 98
(35 + 20x) + -3(5 + -2x) = 98
35 + 20x + (5 * -3 + -2x * -3) = 98
35 + 20x + (-15 + 6x) = 98

Reorder the terms:
35 + -15 + 20x + 6x = 98

Combine like terms: 35 + -15 = 20
20 + 20x + 6x = 98

Combine like terms: 20x + 6x = 26x
20 + 26x = 98

Solving
20 + 26x = 98

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + 26x = 98 + -20

Combine like terms: 20 + -20 = 0
0 + 26x = 98 + -20
26x = 98 + -20

Combine like terms: 98 + -20 = 78
26x = 78

Divide each side by '26'.
x = 3

Simplifying
x = 3

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