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

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


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

Reorder the terms:
7(-2 + x) + -6x + 1 = 3 + -4x
(-2 * 7 + x * 7) + -6x + 1 = 3 + -4x
(-14 + 7x) + -6x + 1 = 3 + -4x

Reorder the terms:
-14 + 1 + 7x + -6x = 3 + -4x

Combine like terms: -14 + 1 = -13
-13 + 7x + -6x = 3 + -4x

Combine like terms: 7x + -6x = 1x
-13 + 1x = 3 + -4x

Solving
-13 + 1x = 3 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-13 + 1x + 4x = 3 + -4x + 4x

Combine like terms: 1x + 4x = 5x
-13 + 5x = 3 + -4x + 4x

Combine like terms: -4x + 4x = 0
-13 + 5x = 3 + 0
-13 + 5x = 3

Add '13' to each side of the equation.
-13 + 13 + 5x = 3 + 13

Combine like terms: -13 + 13 = 0
0 + 5x = 3 + 13
5x = 3 + 13

Combine like terms: 3 + 13 = 16
5x = 16

Divide each side by '5'.
x = 3.2

Simplifying
x = 3.2

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