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

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Solution for 5(x-2)+7=2(x+1) equation:


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

Reorder the terms:
5(-2 + x) + 7 = 2(x + 1)
(-2 * 5 + x * 5) + 7 = 2(x + 1)
(-10 + 5x) + 7 = 2(x + 1)

Reorder the terms:
-10 + 7 + 5x = 2(x + 1)

Combine like terms: -10 + 7 = -3
-3 + 5x = 2(x + 1)

Reorder the terms:
-3 + 5x = 2(1 + x)
-3 + 5x = (1 * 2 + x * 2)
-3 + 5x = (2 + 2x)

Solving
-3 + 5x = 2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-3 + 5x + -2x = 2 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-3 + 3x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + 3x = 2 + 0
-3 + 3x = 2

Add '3' to each side of the equation.
-3 + 3 + 3x = 2 + 3

Combine like terms: -3 + 3 = 0
0 + 3x = 2 + 3
3x = 2 + 3

Combine like terms: 2 + 3 = 5
3x = 5

Divide each side by '3'.
x = 1.666666667

Simplifying
x = 1.666666667

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