3(x-1)=2(3x+5)-7

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Solution for 3(x-1)=2(3x+5)-7 equation:


Simplifying
3(x + -1) = 2(3x + 5) + -7

Reorder the terms:
3(-1 + x) = 2(3x + 5) + -7
(-1 * 3 + x * 3) = 2(3x + 5) + -7
(-3 + 3x) = 2(3x + 5) + -7

Reorder the terms:
-3 + 3x = 2(5 + 3x) + -7
-3 + 3x = (5 * 2 + 3x * 2) + -7
-3 + 3x = (10 + 6x) + -7

Reorder the terms:
-3 + 3x = 10 + -7 + 6x

Combine like terms: 10 + -7 = 3
-3 + 3x = 3 + 6x

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

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

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

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

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

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

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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