4x+2(x-3)=3(x+5)-3

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Solution for 4x+2(x-3)=3(x+5)-3 equation:


Simplifying
4x + 2(x + -3) = 3(x + 5) + -3

Reorder the terms:
4x + 2(-3 + x) = 3(x + 5) + -3
4x + (-3 * 2 + x * 2) = 3(x + 5) + -3
4x + (-6 + 2x) = 3(x + 5) + -3

Reorder the terms:
-6 + 4x + 2x = 3(x + 5) + -3

Combine like terms: 4x + 2x = 6x
-6 + 6x = 3(x + 5) + -3

Reorder the terms:
-6 + 6x = 3(5 + x) + -3
-6 + 6x = (5 * 3 + x * 3) + -3
-6 + 6x = (15 + 3x) + -3

Reorder the terms:
-6 + 6x = 15 + -3 + 3x

Combine like terms: 15 + -3 = 12
-6 + 6x = 12 + 3x

Solving
-6 + 6x = 12 + 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 + 6x + -3x = 12 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-6 + 3x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + 3x = 12 + 0
-6 + 3x = 12

Add '6' to each side of the equation.
-6 + 6 + 3x = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = 12 + 6
3x = 12 + 6

Combine like terms: 12 + 6 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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