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

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


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

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

Reorder the terms:
-21 + 3x = 3 + -5x

Solving
-21 + 3x = 3 + -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 + 3x + 5x = 3 + -5x + 5x

Combine like terms: 3x + 5x = 8x
-21 + 8x = 3 + -5x + 5x

Combine like terms: -5x + 5x = 0
-21 + 8x = 3 + 0
-21 + 8x = 3

Add '21' to each side of the equation.
-21 + 21 + 8x = 3 + 21

Combine like terms: -21 + 21 = 0
0 + 8x = 3 + 21
8x = 3 + 21

Combine like terms: 3 + 21 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3

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