-5(3x-5)=2(x-28)-21

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Solution for -5(3x-5)=2(x-28)-21 equation:


Simplifying
-5(3x + -5) = 2(x + -28) + -21

Reorder the terms:
-5(-5 + 3x) = 2(x + -28) + -21
(-5 * -5 + 3x * -5) = 2(x + -28) + -21
(25 + -15x) = 2(x + -28) + -21

Reorder the terms:
25 + -15x = 2(-28 + x) + -21
25 + -15x = (-28 * 2 + x * 2) + -21
25 + -15x = (-56 + 2x) + -21

Reorder the terms:
25 + -15x = -56 + -21 + 2x

Combine like terms: -56 + -21 = -77
25 + -15x = -77 + 2x

Solving
25 + -15x = -77 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
25 + -15x + -2x = -77 + 2x + -2x

Combine like terms: -15x + -2x = -17x
25 + -17x = -77 + 2x + -2x

Combine like terms: 2x + -2x = 0
25 + -17x = -77 + 0
25 + -17x = -77

Add '-25' to each side of the equation.
25 + -25 + -17x = -77 + -25

Combine like terms: 25 + -25 = 0
0 + -17x = -77 + -25
-17x = -77 + -25

Combine like terms: -77 + -25 = -102
-17x = -102

Divide each side by '-17'.
x = 6

Simplifying
x = 6

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