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

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


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

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

Reorder the terms:
-15 + 5x = 7(-5 + x) + 26
-15 + 5x = (-5 * 7 + x * 7) + 26
-15 + 5x = (-35 + 7x) + 26

Reorder the terms:
-15 + 5x = -35 + 26 + 7x

Combine like terms: -35 + 26 = -9
-15 + 5x = -9 + 7x

Solving
-15 + 5x = -9 + 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.
-15 + 5x + -7x = -9 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-15 + -2x = -9 + 7x + -7x

Combine like terms: 7x + -7x = 0
-15 + -2x = -9 + 0
-15 + -2x = -9

Add '15' to each side of the equation.
-15 + 15 + -2x = -9 + 15

Combine like terms: -15 + 15 = 0
0 + -2x = -9 + 15
-2x = -9 + 15

Combine like terms: -9 + 15 = 6
-2x = 6

Divide each side by '-2'.
x = -3

Simplifying
x = -3

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