8x-5=3(2x-7)-4

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Solution for 8x-5=3(2x-7)-4 equation:


Simplifying
8x + -5 = 3(2x + -7) + -4

Reorder the terms:
-5 + 8x = 3(2x + -7) + -4

Reorder the terms:
-5 + 8x = 3(-7 + 2x) + -4
-5 + 8x = (-7 * 3 + 2x * 3) + -4
-5 + 8x = (-21 + 6x) + -4

Reorder the terms:
-5 + 8x = -21 + -4 + 6x

Combine like terms: -21 + -4 = -25
-5 + 8x = -25 + 6x

Solving
-5 + 8x = -25 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-5 + 8x + -6x = -25 + 6x + -6x

Combine like terms: 8x + -6x = 2x
-5 + 2x = -25 + 6x + -6x

Combine like terms: 6x + -6x = 0
-5 + 2x = -25 + 0
-5 + 2x = -25

Add '5' to each side of the equation.
-5 + 5 + 2x = -25 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = -25 + 5
2x = -25 + 5

Combine like terms: -25 + 5 = -20
2x = -20

Divide each side by '2'.
x = -10

Simplifying
x = -10

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