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

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


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

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

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

Combine like terms: 3 + 14 = 17
-7 + 7x = 17 + 4x

Solving
-7 + 7x = 17 + 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.
-7 + 7x + -4x = 17 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-7 + 3x = 17 + 4x + -4x

Combine like terms: 4x + -4x = 0
-7 + 3x = 17 + 0
-7 + 3x = 17

Add '7' to each side of the equation.
-7 + 7 + 3x = 17 + 7

Combine like terms: -7 + 7 = 0
0 + 3x = 17 + 7
3x = 17 + 7

Combine like terms: 17 + 7 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8

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