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

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


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

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

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

Solving
-21 + 6x = 8 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-21 + 6x + 5x = 8 + -5x + 5x

Combine like terms: 6x + 5x = 11x
-21 + 11x = 8 + -5x + 5x

Combine like terms: -5x + 5x = 0
-21 + 11x = 8 + 0
-21 + 11x = 8

Add '21' to each side of the equation.
-21 + 21 + 11x = 8 + 21

Combine like terms: -21 + 21 = 0
0 + 11x = 8 + 21
11x = 8 + 21

Combine like terms: 8 + 21 = 29
11x = 29

Divide each side by '11'.
x = 2.636363636

Simplifying
x = 2.636363636

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