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

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


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

Reorder the terms:
3(3 + x) + 4(x + -2) = 6x + -5 + 8
(3 * 3 + x * 3) + 4(x + -2) = 6x + -5 + 8
(9 + 3x) + 4(x + -2) = 6x + -5 + 8

Reorder the terms:
9 + 3x + 4(-2 + x) = 6x + -5 + 8
9 + 3x + (-2 * 4 + x * 4) = 6x + -5 + 8
9 + 3x + (-8 + 4x) = 6x + -5 + 8

Reorder the terms:
9 + -8 + 3x + 4x = 6x + -5 + 8

Combine like terms: 9 + -8 = 1
1 + 3x + 4x = 6x + -5 + 8

Combine like terms: 3x + 4x = 7x
1 + 7x = 6x + -5 + 8

Reorder the terms:
1 + 7x = -5 + 8 + 6x

Combine like terms: -5 + 8 = 3
1 + 7x = 3 + 6x

Solving
1 + 7x = 3 + 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.
1 + 7x + -6x = 3 + 6x + -6x

Combine like terms: 7x + -6x = 1x
1 + 1x = 3 + 6x + -6x

Combine like terms: 6x + -6x = 0
1 + 1x = 3 + 0
1 + 1x = 3

Add '-1' to each side of the equation.
1 + -1 + 1x = 3 + -1

Combine like terms: 1 + -1 = 0
0 + 1x = 3 + -1
1x = 3 + -1

Combine like terms: 3 + -1 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

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