7(5x+4)-3(6x-5)=162

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Solution for 7(5x+4)-3(6x-5)=162 equation:


Simplifying
7(5x + 4) + -3(6x + -5) = 162

Reorder the terms:
7(4 + 5x) + -3(6x + -5) = 162
(4 * 7 + 5x * 7) + -3(6x + -5) = 162
(28 + 35x) + -3(6x + -5) = 162

Reorder the terms:
28 + 35x + -3(-5 + 6x) = 162
28 + 35x + (-5 * -3 + 6x * -3) = 162
28 + 35x + (15 + -18x) = 162

Reorder the terms:
28 + 15 + 35x + -18x = 162

Combine like terms: 28 + 15 = 43
43 + 35x + -18x = 162

Combine like terms: 35x + -18x = 17x
43 + 17x = 162

Solving
43 + 17x = 162

Solving for variable 'x'.

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

Add '-43' to each side of the equation.
43 + -43 + 17x = 162 + -43

Combine like terms: 43 + -43 = 0
0 + 17x = 162 + -43
17x = 162 + -43

Combine like terms: 162 + -43 = 119
17x = 119

Divide each side by '17'.
x = 7

Simplifying
x = 7

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