5x-7=3(x-2)+3

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Solution for 5x-7=3(x-2)+3 equation: 


Simplifying
5x + -7 = 3(x + -2) + 3

Reorder the terms:
-7 + 5x = 3(x + -2) + 3

Reorder the terms:
-7 + 5x = 3(-2 + x) + 3
-7 + 5x = (-2 * 3 + x * 3) + 3
-7 + 5x = (-6 + 3x) + 3

Reorder the terms:
-7 + 5x = -6 + 3 + 3x

Combine like terms: -6 + 3 = -3
-7 + 5x = -3 + 3x

Solving
-7 + 5x = -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.
-7 + 5x + -3x = -3 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-7 + 2x = -3 + 3x + -3x

Combine like terms: 3x + -3x = 0
-7 + 2x = -3 + 0
-7 + 2x = -3

Add '7' to each side of the equation.
-7 + 7 + 2x = -3 + 7

Combine like terms: -7 + 7 = 0
0 + 2x = -3 + 7
2x = -3 + 7

Combine like terms: -3 + 7 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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