7x+3(5x-3)-(5x+1)=7(2x+2)

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Solution for 7x+3(5x-3)-(5x+1)=7(2x+2) equation:


Simplifying
7x + 3(5x + -3) + -1(5x + 1) = 7(2x + 2)

Reorder the terms:
7x + 3(-3 + 5x) + -1(5x + 1) = 7(2x + 2)
7x + (-3 * 3 + 5x * 3) + -1(5x + 1) = 7(2x + 2)
7x + (-9 + 15x) + -1(5x + 1) = 7(2x + 2)

Reorder the terms:
7x + -9 + 15x + -1(1 + 5x) = 7(2x + 2)
7x + -9 + 15x + (1 * -1 + 5x * -1) = 7(2x + 2)
7x + -9 + 15x + (-1 + -5x) = 7(2x + 2)

Reorder the terms:
-9 + -1 + 7x + 15x + -5x = 7(2x + 2)

Combine like terms: -9 + -1 = -10
-10 + 7x + 15x + -5x = 7(2x + 2)

Combine like terms: 7x + 15x = 22x
-10 + 22x + -5x = 7(2x + 2)

Combine like terms: 22x + -5x = 17x
-10 + 17x = 7(2x + 2)

Reorder the terms:
-10 + 17x = 7(2 + 2x)
-10 + 17x = (2 * 7 + 2x * 7)
-10 + 17x = (14 + 14x)

Solving
-10 + 17x = 14 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-10 + 17x + -14x = 14 + 14x + -14x

Combine like terms: 17x + -14x = 3x
-10 + 3x = 14 + 14x + -14x

Combine like terms: 14x + -14x = 0
-10 + 3x = 14 + 0
-10 + 3x = 14

Add '10' to each side of the equation.
-10 + 10 + 3x = 14 + 10

Combine like terms: -10 + 10 = 0
0 + 3x = 14 + 10
3x = 14 + 10

Combine like terms: 14 + 10 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8

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