-3(5x-23)=9x-78(7x-54)

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Solution for -3(5x-23)=9x-78(7x-54) equation:


Simplifying
-3(5x + -23) = 9x + -78(7x + -54)

Reorder the terms:
-3(-23 + 5x) = 9x + -78(7x + -54)
(-23 * -3 + 5x * -3) = 9x + -78(7x + -54)
(69 + -15x) = 9x + -78(7x + -54)

Reorder the terms:
69 + -15x = 9x + -78(-54 + 7x)
69 + -15x = 9x + (-54 * -78 + 7x * -78)
69 + -15x = 9x + (4212 + -546x)

Reorder the terms:
69 + -15x = 4212 + 9x + -546x

Combine like terms: 9x + -546x = -537x
69 + -15x = 4212 + -537x

Solving
69 + -15x = 4212 + -537x

Solving for variable 'x'.

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

Add '537x' to each side of the equation.
69 + -15x + 537x = 4212 + -537x + 537x

Combine like terms: -15x + 537x = 522x
69 + 522x = 4212 + -537x + 537x

Combine like terms: -537x + 537x = 0
69 + 522x = 4212 + 0
69 + 522x = 4212

Add '-69' to each side of the equation.
69 + -69 + 522x = 4212 + -69

Combine like terms: 69 + -69 = 0
0 + 522x = 4212 + -69
522x = 4212 + -69

Combine like terms: 4212 + -69 = 4143
522x = 4143

Divide each side by '522'.
x = 7.936781609

Simplifying
x = 7.936781609

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