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

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


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

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

Reorder the terms:
-6 + -2 + 3x = 7x + -4

Combine like terms: -6 + -2 = -8
-8 + 3x = 7x + -4

Reorder the terms:
-8 + 3x = -4 + 7x

Solving
-8 + 3x = -4 + 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.
-8 + 3x + -7x = -4 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
-8 + -4x = -4 + 0
-8 + -4x = -4

Add '8' to each side of the equation.
-8 + 8 + -4x = -4 + 8

Combine like terms: -8 + 8 = 0
0 + -4x = -4 + 8
-4x = -4 + 8

Combine like terms: -4 + 8 = 4
-4x = 4

Divide each side by '-4'.
x = -1

Simplifying
x = -1

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