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

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


Simplifying
2(7 + -3x) = 3(x + 1) + -7
(7 * 2 + -3x * 2) = 3(x + 1) + -7
(14 + -6x) = 3(x + 1) + -7

Reorder the terms:
14 + -6x = 3(1 + x) + -7
14 + -6x = (1 * 3 + x * 3) + -7
14 + -6x = (3 + 3x) + -7

Reorder the terms:
14 + -6x = 3 + -7 + 3x

Combine like terms: 3 + -7 = -4
14 + -6x = -4 + 3x

Solving
14 + -6x = -4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
14 + -6x + -3x = -4 + 3x + -3x

Combine like terms: -6x + -3x = -9x
14 + -9x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
14 + -9x = -4 + 0
14 + -9x = -4

Add '-14' to each side of the equation.
14 + -14 + -9x = -4 + -14

Combine like terms: 14 + -14 = 0
0 + -9x = -4 + -14
-9x = -4 + -14

Combine like terms: -4 + -14 = -18
-9x = -18

Divide each side by '-9'.
x = 2

Simplifying
x = 2

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