15(x+4)=7x-26

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Solution for 15(x+4)=7x-26 equation:


Simplifying
15(x + 4) = 7x + -26

Reorder the terms:
15(4 + x) = 7x + -26
(4 * 15 + x * 15) = 7x + -26
(60 + 15x) = 7x + -26

Reorder the terms:
60 + 15x = -26 + 7x

Solving
60 + 15x = -26 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
60 + 15x + -7x = -26 + 7x + -7x

Combine like terms: 15x + -7x = 8x
60 + 8x = -26 + 7x + -7x

Combine like terms: 7x + -7x = 0
60 + 8x = -26 + 0
60 + 8x = -26

Add '-60' to each side of the equation.
60 + -60 + 8x = -26 + -60

Combine like terms: 60 + -60 = 0
0 + 8x = -26 + -60
8x = -26 + -60

Combine like terms: -26 + -60 = -86
8x = -86

Divide each side by '8'.
x = -10.75

Simplifying
x = -10.75

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