3(x+8)-3=2(4x-9)+30

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Solution for 3(x+8)-3=2(4x-9)+30 equation:


Simplifying
3(x + 8) + -3 = 2(4x + -9) + 30

Reorder the terms:
3(8 + x) + -3 = 2(4x + -9) + 30
(8 * 3 + x * 3) + -3 = 2(4x + -9) + 30
(24 + 3x) + -3 = 2(4x + -9) + 30

Reorder the terms:
24 + -3 + 3x = 2(4x + -9) + 30

Combine like terms: 24 + -3 = 21
21 + 3x = 2(4x + -9) + 30

Reorder the terms:
21 + 3x = 2(-9 + 4x) + 30
21 + 3x = (-9 * 2 + 4x * 2) + 30
21 + 3x = (-18 + 8x) + 30

Reorder the terms:
21 + 3x = -18 + 30 + 8x

Combine like terms: -18 + 30 = 12
21 + 3x = 12 + 8x

Solving
21 + 3x = 12 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
21 + 3x + -8x = 12 + 8x + -8x

Combine like terms: 3x + -8x = -5x
21 + -5x = 12 + 8x + -8x

Combine like terms: 8x + -8x = 0
21 + -5x = 12 + 0
21 + -5x = 12

Add '-21' to each side of the equation.
21 + -21 + -5x = 12 + -21

Combine like terms: 21 + -21 = 0
0 + -5x = 12 + -21
-5x = 12 + -21

Combine like terms: 12 + -21 = -9
-5x = -9

Divide each side by '-5'.
x = 1.8

Simplifying
x = 1.8

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