34(x+8)+5=7x-9

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Solution for 34(x+8)+5=7x-9 equation:


Simplifying
34(x + 8) + 5 = 7x + -9

Reorder the terms:
34(8 + x) + 5 = 7x + -9
(8 * 34 + x * 34) + 5 = 7x + -9
(272 + 34x) + 5 = 7x + -9

Reorder the terms:
272 + 5 + 34x = 7x + -9

Combine like terms: 272 + 5 = 277
277 + 34x = 7x + -9

Reorder the terms:
277 + 34x = -9 + 7x

Solving
277 + 34x = -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.
277 + 34x + -7x = -9 + 7x + -7x

Combine like terms: 34x + -7x = 27x
277 + 27x = -9 + 7x + -7x

Combine like terms: 7x + -7x = 0
277 + 27x = -9 + 0
277 + 27x = -9

Add '-277' to each side of the equation.
277 + -277 + 27x = -9 + -277

Combine like terms: 277 + -277 = 0
0 + 27x = -9 + -277
27x = -9 + -277

Combine like terms: -9 + -277 = -286
27x = -286

Divide each side by '27'.
x = -10.59259259

Simplifying
x = -10.59259259

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