3(x-5)=-x+7

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


Simplifying
3(x + -5) = -1x + 7

Reorder the terms:
3(-5 + x) = -1x + 7
(-5 * 3 + x * 3) = -1x + 7
(-15 + 3x) = -1x + 7

Reorder the terms:
-15 + 3x = 7 + -1x

Solving
-15 + 3x = 7 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-15 + 3x + x = 7 + -1x + x

Combine like terms: 3x + x = 4x
-15 + 4x = 7 + -1x + x

Combine like terms: -1x + x = 0
-15 + 4x = 7 + 0
-15 + 4x = 7

Add '15' to each side of the equation.
-15 + 15 + 4x = 7 + 15

Combine like terms: -15 + 15 = 0
0 + 4x = 7 + 15
4x = 7 + 15

Combine like terms: 7 + 15 = 22
4x = 22

Divide each side by '4'.
x = 5.5

Simplifying
x = 5.5

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