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

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


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

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

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

Combine like terms: -6 + -7 = -13
-13 + 6x = -7x + 2

Reorder the terms:
-13 + 6x = 2 + -7x

Solving
-13 + 6x = 2 + -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.
-13 + 6x + 7x = 2 + -7x + 7x

Combine like terms: 6x + 7x = 13x
-13 + 13x = 2 + -7x + 7x

Combine like terms: -7x + 7x = 0
-13 + 13x = 2 + 0
-13 + 13x = 2

Add '13' to each side of the equation.
-13 + 13 + 13x = 2 + 13

Combine like terms: -13 + 13 = 0
0 + 13x = 2 + 13
13x = 2 + 13

Combine like terms: 2 + 13 = 15
13x = 15

Divide each side by '13'.
x = 1.153846154

Simplifying
x = 1.153846154

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