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

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


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

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

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

Combine like terms: 3x + 2x = 5x
-14 + 5x = 7(x + -1)

Reorder the terms:
-14 + 5x = 7(-1 + x)
-14 + 5x = (-1 * 7 + x * 7)
-14 + 5x = (-7 + 7x)

Solving
-14 + 5x = -7 + 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.
-14 + 5x + -7x = -7 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-14 + -2x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
-14 + -2x = -7 + 0
-14 + -2x = -7

Add '14' to each side of the equation.
-14 + 14 + -2x = -7 + 14

Combine like terms: -14 + 14 = 0
0 + -2x = -7 + 14
-2x = -7 + 14

Combine like terms: -7 + 14 = 7
-2x = 7

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

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