8(x+5)-7(2x-15)=13

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Solution for 8(x+5)-7(2x-15)=13 equation: 


Simplifying
8(x + 5) + -7(2x + -15) = 13

Reorder the terms:
8(5 + x) + -7(2x + -15) = 13
(5 * 8 + x * 8) + -7(2x + -15) = 13
(40 + 8x) + -7(2x + -15) = 13

Reorder the terms:
40 + 8x + -7(-15 + 2x) = 13
40 + 8x + (-15 * -7 + 2x * -7) = 13
40 + 8x + (105 + -14x) = 13

Reorder the terms:
40 + 105 + 8x + -14x = 13

Combine like terms: 40 + 105 = 145
145 + 8x + -14x = 13

Combine like terms: 8x + -14x = -6x
145 + -6x = 13

Solving
145 + -6x = 13

Solving for variable 'x'.

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

Add '-145' to each side of the equation.
145 + -145 + -6x = 13 + -145

Combine like terms: 145 + -145 = 0
0 + -6x = 13 + -145
-6x = 13 + -145

Combine like terms: 13 + -145 = -132
-6x = -132

Divide each side by '-6'.
x = 22

Simplifying
x = 22

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