3(x+3)-2x=4(2x+1)-8

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Solution for 3(x+3)-2x=4(2x+1)-8 equation: 


Simplifying
3(x + 3) + -2x = 4(2x + 1) + -8

Reorder the terms:
3(3 + x) + -2x = 4(2x + 1) + -8
(3 * 3 + x * 3) + -2x = 4(2x + 1) + -8
(9 + 3x) + -2x = 4(2x + 1) + -8

Combine like terms: 3x + -2x = 1x
9 + 1x = 4(2x + 1) + -8

Reorder the terms:
9 + 1x = 4(1 + 2x) + -8
9 + 1x = (1 * 4 + 2x * 4) + -8
9 + 1x = (4 + 8x) + -8

Reorder the terms:
9 + 1x = 4 + -8 + 8x

Combine like terms: 4 + -8 = -4
9 + 1x = -4 + 8x

Solving
9 + 1x = -4 + 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.
9 + 1x + -8x = -4 + 8x + -8x

Combine like terms: 1x + -8x = -7x
9 + -7x = -4 + 8x + -8x

Combine like terms: 8x + -8x = 0
9 + -7x = -4 + 0
9 + -7x = -4

Add '-9' to each side of the equation.
9 + -9 + -7x = -4 + -9

Combine like terms: 9 + -9 = 0
0 + -7x = -4 + -9
-7x = -4 + -9

Combine like terms: -4 + -9 = -13
-7x = -13

Divide each side by '-7'.
x = 1.857142857

Simplifying
x = 1.857142857

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