3(x-4)+2=6(x-1)-7

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Solution for 3(x-4)+2=6(x-1)-7 equation:


Simplifying
3(x + -4) + 2 = 6(x + -1) + -7

Reorder the terms:
3(-4 + x) + 2 = 6(x + -1) + -7
(-4 * 3 + x * 3) + 2 = 6(x + -1) + -7
(-12 + 3x) + 2 = 6(x + -1) + -7

Reorder the terms:
-12 + 2 + 3x = 6(x + -1) + -7

Combine like terms: -12 + 2 = -10
-10 + 3x = 6(x + -1) + -7

Reorder the terms:
-10 + 3x = 6(-1 + x) + -7
-10 + 3x = (-1 * 6 + x * 6) + -7
-10 + 3x = (-6 + 6x) + -7

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

Combine like terms: -6 + -7 = -13
-10 + 3x = -13 + 6x

Solving
-10 + 3x = -13 + 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.
-10 + 3x + -6x = -13 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-10 + -3x = -13 + 6x + -6x

Combine like terms: 6x + -6x = 0
-10 + -3x = -13 + 0
-10 + -3x = -13

Add '10' to each side of the equation.
-10 + 10 + -3x = -13 + 10

Combine like terms: -10 + 10 = 0
0 + -3x = -13 + 10
-3x = -13 + 10

Combine like terms: -13 + 10 = -3
-3x = -3

Divide each side by '-3'.
x = 1

Simplifying
x = 1

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