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

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


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

Reorder the terms:
-3 + 7(-2 + x) = 3(x + 1)
-3 + (-2 * 7 + x * 7) = 3(x + 1)
-3 + (-14 + 7x) = 3(x + 1)

Combine like terms: -3 + -14 = -17
-17 + 7x = 3(x + 1)

Reorder the terms:
-17 + 7x = 3(1 + x)
-17 + 7x = (1 * 3 + x * 3)
-17 + 7x = (3 + 3x)

Solving
-17 + 7x = 3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-17 + 7x + -3x = 3 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-17 + 4x = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
-17 + 4x = 3 + 0
-17 + 4x = 3

Add '17' to each side of the equation.
-17 + 17 + 4x = 3 + 17

Combine like terms: -17 + 17 = 0
0 + 4x = 3 + 17
4x = 3 + 17

Combine like terms: 3 + 17 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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