3(x-2)=-7(x+1)+39

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Solution for 3(x-2)=-7(x+1)+39 equation:


Simplifying
3(x + -2) = -7(x + 1) + 39

Reorder the terms:
3(-2 + x) = -7(x + 1) + 39
(-2 * 3 + x * 3) = -7(x + 1) + 39
(-6 + 3x) = -7(x + 1) + 39

Reorder the terms:
-6 + 3x = -7(1 + x) + 39
-6 + 3x = (1 * -7 + x * -7) + 39
-6 + 3x = (-7 + -7x) + 39

Reorder the terms:
-6 + 3x = -7 + 39 + -7x

Combine like terms: -7 + 39 = 32
-6 + 3x = 32 + -7x

Solving
-6 + 3x = 32 + -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.
-6 + 3x + 7x = 32 + -7x + 7x

Combine like terms: 3x + 7x = 10x
-6 + 10x = 32 + -7x + 7x

Combine like terms: -7x + 7x = 0
-6 + 10x = 32 + 0
-6 + 10x = 32

Add '6' to each side of the equation.
-6 + 6 + 10x = 32 + 6

Combine like terms: -6 + 6 = 0
0 + 10x = 32 + 6
10x = 32 + 6

Combine like terms: 32 + 6 = 38
10x = 38

Divide each side by '10'.
x = 3.8

Simplifying
x = 3.8

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