5(x-3)-10=29x-289

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Solution for 5(x-3)-10=29x-289 equation:


Simplifying
5(x + -3) + -10 = 29x + -289

Reorder the terms:
5(-3 + x) + -10 = 29x + -289
(-3 * 5 + x * 5) + -10 = 29x + -289
(-15 + 5x) + -10 = 29x + -289

Reorder the terms:
-15 + -10 + 5x = 29x + -289

Combine like terms: -15 + -10 = -25
-25 + 5x = 29x + -289

Reorder the terms:
-25 + 5x = -289 + 29x

Solving
-25 + 5x = -289 + 29x

Solving for variable 'x'.

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

Add '-29x' to each side of the equation.
-25 + 5x + -29x = -289 + 29x + -29x

Combine like terms: 5x + -29x = -24x
-25 + -24x = -289 + 29x + -29x

Combine like terms: 29x + -29x = 0
-25 + -24x = -289 + 0
-25 + -24x = -289

Add '25' to each side of the equation.
-25 + 25 + -24x = -289 + 25

Combine like terms: -25 + 25 = 0
0 + -24x = -289 + 25
-24x = -289 + 25

Combine like terms: -289 + 25 = -264
-24x = -264

Divide each side by '-24'.
x = 11

Simplifying
x = 11

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