7(x+2)-3(5x-2)=26

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Solution for 7(x+2)-3(5x-2)=26 equation:


Simplifying
7(x + 2) + -3(5x + -2) = 26

Reorder the terms:
7(2 + x) + -3(5x + -2) = 26
(2 * 7 + x * 7) + -3(5x + -2) = 26
(14 + 7x) + -3(5x + -2) = 26

Reorder the terms:
14 + 7x + -3(-2 + 5x) = 26
14 + 7x + (-2 * -3 + 5x * -3) = 26
14 + 7x + (6 + -15x) = 26

Reorder the terms:
14 + 6 + 7x + -15x = 26

Combine like terms: 14 + 6 = 20
20 + 7x + -15x = 26

Combine like terms: 7x + -15x = -8x
20 + -8x = 26

Solving
20 + -8x = 26

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 + -8x = 26 + -20

Combine like terms: 20 + -20 = 0
0 + -8x = 26 + -20
-8x = 26 + -20

Combine like terms: 26 + -20 = 6
-8x = 6

Divide each side by '-8'.
x = -0.75

Simplifying
x = -0.75

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