6(5x-4)+5(8-3x)=3(2x+7)+22

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Solution for 6(5x-4)+5(8-3x)=3(2x+7)+22 equation:


Simplifying
6(5x + -4) + 5(8 + -3x) = 3(2x + 7) + 22

Reorder the terms:
6(-4 + 5x) + 5(8 + -3x) = 3(2x + 7) + 22
(-4 * 6 + 5x * 6) + 5(8 + -3x) = 3(2x + 7) + 22
(-24 + 30x) + 5(8 + -3x) = 3(2x + 7) + 22
-24 + 30x + (8 * 5 + -3x * 5) = 3(2x + 7) + 22
-24 + 30x + (40 + -15x) = 3(2x + 7) + 22

Reorder the terms:
-24 + 40 + 30x + -15x = 3(2x + 7) + 22

Combine like terms: -24 + 40 = 16
16 + 30x + -15x = 3(2x + 7) + 22

Combine like terms: 30x + -15x = 15x
16 + 15x = 3(2x + 7) + 22

Reorder the terms:
16 + 15x = 3(7 + 2x) + 22
16 + 15x = (7 * 3 + 2x * 3) + 22
16 + 15x = (21 + 6x) + 22

Reorder the terms:
16 + 15x = 21 + 22 + 6x

Combine like terms: 21 + 22 = 43
16 + 15x = 43 + 6x

Solving
16 + 15x = 43 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
16 + 15x + -6x = 43 + 6x + -6x

Combine like terms: 15x + -6x = 9x
16 + 9x = 43 + 6x + -6x

Combine like terms: 6x + -6x = 0
16 + 9x = 43 + 0
16 + 9x = 43

Add '-16' to each side of the equation.
16 + -16 + 9x = 43 + -16

Combine like terms: 16 + -16 = 0
0 + 9x = 43 + -16
9x = 43 + -16

Combine like terms: 43 + -16 = 27
9x = 27

Divide each side by '9'.
x = 3

Simplifying
x = 3

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