3(x+10)=8(2x-1)+12

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Solution for 3(x+10)=8(2x-1)+12 equation: 


Simplifying
3(x + 10) = 8(2x + -1) + 12

Reorder the terms:
3(10 + x) = 8(2x + -1) + 12
(10 * 3 + x * 3) = 8(2x + -1) + 12
(30 + 3x) = 8(2x + -1) + 12

Reorder the terms:
30 + 3x = 8(-1 + 2x) + 12
30 + 3x = (-1 * 8 + 2x * 8) + 12
30 + 3x = (-8 + 16x) + 12

Reorder the terms:
30 + 3x = -8 + 12 + 16x

Combine like terms: -8 + 12 = 4
30 + 3x = 4 + 16x

Solving
30 + 3x = 4 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
30 + 3x + -16x = 4 + 16x + -16x

Combine like terms: 3x + -16x = -13x
30 + -13x = 4 + 16x + -16x

Combine like terms: 16x + -16x = 0
30 + -13x = 4 + 0
30 + -13x = 4

Add '-30' to each side of the equation.
30 + -30 + -13x = 4 + -30

Combine like terms: 30 + -30 = 0
0 + -13x = 4 + -30
-13x = 4 + -30

Combine like terms: 4 + -30 = -26
-13x = -26

Divide each side by '-13'.
x = 2

Simplifying
x = 2

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