5(1x+4)=7x-26

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Solution for 5(1x+4)=7x-26 equation:


Simplifying
5(1x + 4) = 7x + -26

Reorder the terms:
5(4 + 1x) = 7x + -26
(4 * 5 + 1x * 5) = 7x + -26
(20 + 5x) = 7x + -26

Reorder the terms:
20 + 5x = -26 + 7x

Solving
20 + 5x = -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.
20 + 5x + -7x = -26 + 7x + -7x

Combine like terms: 5x + -7x = -2x
20 + -2x = -26 + 7x + -7x

Combine like terms: 7x + -7x = 0
20 + -2x = -26 + 0
20 + -2x = -26

Add '-20' to each side of the equation.
20 + -20 + -2x = -26 + -20

Combine like terms: 20 + -20 = 0
0 + -2x = -26 + -20
-2x = -26 + -20

Combine like terms: -26 + -20 = -46
-2x = -46

Divide each side by '-2'.
x = 23

Simplifying
x = 23

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