5x+2(x-3)=3(x+1)-6

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Solution for 5x+2(x-3)=3(x+1)-6 equation:


Simplifying
5x + 2(x + -3) = 3(x + 1) + -6

Reorder the terms:
5x + 2(-3 + x) = 3(x + 1) + -6
5x + (-3 * 2 + x * 2) = 3(x + 1) + -6
5x + (-6 + 2x) = 3(x + 1) + -6

Reorder the terms:
-6 + 5x + 2x = 3(x + 1) + -6

Combine like terms: 5x + 2x = 7x
-6 + 7x = 3(x + 1) + -6

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

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

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

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

Combine like terms: 7x + -3x = 4x
-6 + 4x = -3 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + 4x = -3 + 0
-6 + 4x = -3

Add '6' to each side of the equation.
-6 + 6 + 4x = -3 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = -3 + 6
4x = -3 + 6

Combine like terms: -3 + 6 = 3
4x = 3

Divide each side by '4'.
x = 0.75

Simplifying
x = 0.75

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