7x+3+(10x-3x)=-8x-(-10-7x)-2

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Solution for 7x+3+(10x-3x)=-8x-(-10-7x)-2 equation:


Simplifying
7x + 3 + (10x + -3x) = -8x + -1(-10 + -7x) + -2

Combine like terms: 10x + -3x = 7x
7x + 3 + (7x) = -8x + -1(-10 + -7x) + -2
7x + 3 + (7x) = -8x + -1(-10 + -7x) + -2

Reorder the terms:
3 + 7x + (7x) = -8x + -1(-10 + -7x) + -2

Combine like terms: 7x + (7x) = 14x
3 + 14x = -8x + -1(-10 + -7x) + -2
3 + 14x = -8x + (-10 * -1 + -7x * -1) + -2
3 + 14x = -8x + (10 + 7x) + -2

Reorder the terms:
3 + 14x = 10 + -2 + -8x + 7x

Combine like terms: 10 + -2 = 8
3 + 14x = 8 + -8x + 7x

Combine like terms: -8x + 7x = -1x
3 + 14x = 8 + -1x

Solving
3 + 14x = 8 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
3 + 14x + x = 8 + -1x + x

Combine like terms: 14x + x = 15x
3 + 15x = 8 + -1x + x

Combine like terms: -1x + x = 0
3 + 15x = 8 + 0
3 + 15x = 8

Add '-3' to each side of the equation.
3 + -3 + 15x = 8 + -3

Combine like terms: 3 + -3 = 0
0 + 15x = 8 + -3
15x = 8 + -3

Combine like terms: 8 + -3 = 5
15x = 5

Divide each side by '15'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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