3(x-4)=-7x+18

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Solution for 3(x-4)=-7x+18 equation:


Simplifying
3(x + -4) = -7x + 18

Reorder the terms:
3(-4 + x) = -7x + 18
(-4 * 3 + x * 3) = -7x + 18
(-12 + 3x) = -7x + 18

Reorder the terms:
-12 + 3x = 18 + -7x

Solving
-12 + 3x = 18 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-12 + 3x + 7x = 18 + -7x + 7x

Combine like terms: 3x + 7x = 10x
-12 + 10x = 18 + -7x + 7x

Combine like terms: -7x + 7x = 0
-12 + 10x = 18 + 0
-12 + 10x = 18

Add '12' to each side of the equation.
-12 + 12 + 10x = 18 + 12

Combine like terms: -12 + 12 = 0
0 + 10x = 18 + 12
10x = 18 + 12

Combine like terms: 18 + 12 = 30
10x = 30

Divide each side by '10'.
x = 3

Simplifying
x = 3

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