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

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


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

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

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

Combine like terms: -14 + 1 = -13
-13 + 2x = -3(x + -1)

Reorder the terms:
-13 + 2x = -3(-1 + x)
-13 + 2x = (-1 * -3 + x * -3)
-13 + 2x = (3 + -3x)

Solving
-13 + 2x = 3 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-13 + 2x + 3x = 3 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-13 + 5x = 3 + -3x + 3x

Combine like terms: -3x + 3x = 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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