10-3x+2(5x-2)=7(x+5)-3x-5

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Solution for 10-3x+2(5x-2)=7(x+5)-3x-5 equation:


Simplifying
10 + -3x + 2(5x + -2) = 7(x + 5) + -3x + -5

Reorder the terms:
10 + -3x + 2(-2 + 5x) = 7(x + 5) + -3x + -5
10 + -3x + (-2 * 2 + 5x * 2) = 7(x + 5) + -3x + -5
10 + -3x + (-4 + 10x) = 7(x + 5) + -3x + -5

Reorder the terms:
10 + -4 + -3x + 10x = 7(x + 5) + -3x + -5

Combine like terms: 10 + -4 = 6
6 + -3x + 10x = 7(x + 5) + -3x + -5

Combine like terms: -3x + 10x = 7x
6 + 7x = 7(x + 5) + -3x + -5

Reorder the terms:
6 + 7x = 7(5 + x) + -3x + -5
6 + 7x = (5 * 7 + x * 7) + -3x + -5
6 + 7x = (35 + 7x) + -3x + -5

Reorder the terms:
6 + 7x = 35 + -5 + 7x + -3x

Combine like terms: 35 + -5 = 30
6 + 7x = 30 + 7x + -3x

Combine like terms: 7x + -3x = 4x
6 + 7x = 30 + 4x

Solving
6 + 7x = 30 + 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.
6 + 7x + -4x = 30 + 4x + -4x

Combine like terms: 7x + -4x = 3x
6 + 3x = 30 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + 3x = 30 + 0
6 + 3x = 30

Add '-6' to each side of the equation.
6 + -6 + 3x = 30 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = 30 + -6
3x = 30 + -6

Combine like terms: 30 + -6 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8

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