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

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


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

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

Reorder the terms:
-3 + 3x = 3x + 1 + -2(-7 + -2x)
-3 + 3x = 3x + 1 + (-7 * -2 + -2x * -2)
-3 + 3x = 3x + 1 + (14 + 4x)

Reorder the terms:
-3 + 3x = 1 + 14 + 3x + 4x

Combine like terms: 1 + 14 = 15
-3 + 3x = 15 + 3x + 4x

Combine like terms: 3x + 4x = 7x
-3 + 3x = 15 + 7x

Solving
-3 + 3x = 15 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-3 + 3x + -7x = 15 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-3 + -4x = 15 + 7x + -7x

Combine like terms: 7x + -7x = 0
-3 + -4x = 15 + 0
-3 + -4x = 15

Add '3' to each side of the equation.
-3 + 3 + -4x = 15 + 3

Combine like terms: -3 + 3 = 0
0 + -4x = 15 + 3
-4x = 15 + 3

Combine like terms: 15 + 3 = 18
-4x = 18

Divide each side by '-4'.
x = -4.5

Simplifying
x = -4.5

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