5(-1+x)+3x=7(x+1)

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Solution for 5(-1+x)+3x=7(x+1) equation:


Simplifying
5(-1 + x) + 3x = 7(x + 1)
(-1 * 5 + x * 5) + 3x = 7(x + 1)
(-5 + 5x) + 3x = 7(x + 1)

Combine like terms: 5x + 3x = 8x
-5 + 8x = 7(x + 1)

Reorder the terms:
-5 + 8x = 7(1 + x)
-5 + 8x = (1 * 7 + x * 7)
-5 + 8x = (7 + 7x)

Solving
-5 + 8x = 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.
-5 + 8x + -7x = 7 + 7x + -7x

Combine like terms: 8x + -7x = 1x
-5 + 1x = 7 + 7x + -7x

Combine like terms: 7x + -7x = 0
-5 + 1x = 7 + 0
-5 + 1x = 7

Add '5' to each side of the equation.
-5 + 5 + 1x = 7 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = 7 + 5
1x = 7 + 5

Combine like terms: 7 + 5 = 12
1x = 12

Divide each side by '1'.
x = 12

Simplifying
x = 12

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