5(x+2)+4(x-3)=3(x+8)-14

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Solution for 5(x+2)+4(x-3)=3(x+8)-14 equation:


Simplifying
5(x + 2) + 4(x + -3) = 3(x + 8) + -14

Reorder the terms:
5(2 + x) + 4(x + -3) = 3(x + 8) + -14
(2 * 5 + x * 5) + 4(x + -3) = 3(x + 8) + -14
(10 + 5x) + 4(x + -3) = 3(x + 8) + -14

Reorder the terms:
10 + 5x + 4(-3 + x) = 3(x + 8) + -14
10 + 5x + (-3 * 4 + x * 4) = 3(x + 8) + -14
10 + 5x + (-12 + 4x) = 3(x + 8) + -14

Reorder the terms:
10 + -12 + 5x + 4x = 3(x + 8) + -14

Combine like terms: 10 + -12 = -2
-2 + 5x + 4x = 3(x + 8) + -14

Combine like terms: 5x + 4x = 9x
-2 + 9x = 3(x + 8) + -14

Reorder the terms:
-2 + 9x = 3(8 + x) + -14
-2 + 9x = (8 * 3 + x * 3) + -14
-2 + 9x = (24 + 3x) + -14

Reorder the terms:
-2 + 9x = 24 + -14 + 3x

Combine like terms: 24 + -14 = 10
-2 + 9x = 10 + 3x

Solving
-2 + 9x = 10 + 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.
-2 + 9x + -3x = 10 + 3x + -3x

Combine like terms: 9x + -3x = 6x
-2 + 6x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + 6x = 10 + 0
-2 + 6x = 10

Add '2' to each side of the equation.
-2 + 2 + 6x = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 6x = 10 + 2
6x = 10 + 2

Combine like terms: 10 + 2 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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