4-3(2x+1)=7+3(2-x)+3x

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Solution for 4-3(2x+1)=7+3(2-x)+3x equation: 


Simplifying
4 + -3(2x + 1) = 7 + 3(2 + -1x) + 3x

Reorder the terms:
4 + -3(1 + 2x) = 7 + 3(2 + -1x) + 3x
4 + (1 * -3 + 2x * -3) = 7 + 3(2 + -1x) + 3x
4 + (-3 + -6x) = 7 + 3(2 + -1x) + 3x

Combine like terms: 4 + -3 = 1
1 + -6x = 7 + 3(2 + -1x) + 3x
1 + -6x = 7 + (2 * 3 + -1x * 3) + 3x
1 + -6x = 7 + (6 + -3x) + 3x

Combine like terms: 7 + 6 = 13
1 + -6x = 13 + -3x + 3x

Combine like terms: -3x + 3x = 0
1 + -6x = 13 + 0
1 + -6x = 13

Solving
1 + -6x = 13

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + -6x = 13 + -1

Combine like terms: 1 + -1 = 0
0 + -6x = 13 + -1
-6x = 13 + -1

Combine like terms: 13 + -1 = 12
-6x = 12

Divide each side by '-6'.
x = -2

Simplifying
x = -2

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