15(2x-26)=6(3x-29)

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Solution for 15(2x-26)=6(3x-29) equation:


Simplifying
15(2x + -26) = 6(3x + -29)

Reorder the terms:
15(-26 + 2x) = 6(3x + -29)
(-26 * 15 + 2x * 15) = 6(3x + -29)
(-390 + 30x) = 6(3x + -29)

Reorder the terms:
-390 + 30x = 6(-29 + 3x)
-390 + 30x = (-29 * 6 + 3x * 6)
-390 + 30x = (-174 + 18x)

Solving
-390 + 30x = -174 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-390 + 30x + -18x = -174 + 18x + -18x

Combine like terms: 30x + -18x = 12x
-390 + 12x = -174 + 18x + -18x

Combine like terms: 18x + -18x = 0
-390 + 12x = -174 + 0
-390 + 12x = -174

Add '390' to each side of the equation.
-390 + 390 + 12x = -174 + 390

Combine like terms: -390 + 390 = 0
0 + 12x = -174 + 390
12x = -174 + 390

Combine like terms: -174 + 390 = 216
12x = 216

Divide each side by '12'.
x = 18

Simplifying
x = 18

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