5x+3(x-6)=4(x+2)-5

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Solution for 5x+3(x-6)=4(x+2)-5 equation:


Simplifying
5x + 3(x + -6) = 4(x + 2) + -5

Reorder the terms:
5x + 3(-6 + x) = 4(x + 2) + -5
5x + (-6 * 3 + x * 3) = 4(x + 2) + -5
5x + (-18 + 3x) = 4(x + 2) + -5

Reorder the terms:
-18 + 5x + 3x = 4(x + 2) + -5

Combine like terms: 5x + 3x = 8x
-18 + 8x = 4(x + 2) + -5

Reorder the terms:
-18 + 8x = 4(2 + x) + -5
-18 + 8x = (2 * 4 + x * 4) + -5
-18 + 8x = (8 + 4x) + -5

Reorder the terms:
-18 + 8x = 8 + -5 + 4x

Combine like terms: 8 + -5 = 3
-18 + 8x = 3 + 4x

Solving
-18 + 8x = 3 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-18 + 8x + -4x = 3 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-18 + 4x = 3 + 4x + -4x

Combine like terms: 4x + -4x = 0
-18 + 4x = 3 + 0
-18 + 4x = 3

Add '18' to each side of the equation.
-18 + 18 + 4x = 3 + 18

Combine like terms: -18 + 18 = 0
0 + 4x = 3 + 18
4x = 3 + 18

Combine like terms: 3 + 18 = 21
4x = 21

Divide each side by '4'.
x = 5.25

Simplifying
x = 5.25

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