10+2x-11x+4(6x-2)=-20x+3(x+7)

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Solution for 10+2x-11x+4(6x-2)=-20x+3(x+7) equation:


Simplifying
10 + 2x + -11x + 4(6x + -2) = -20x + 3(x + 7)

Reorder the terms:
10 + 2x + -11x + 4(-2 + 6x) = -20x + 3(x + 7)
10 + 2x + -11x + (-2 * 4 + 6x * 4) = -20x + 3(x + 7)
10 + 2x + -11x + (-8 + 24x) = -20x + 3(x + 7)

Reorder the terms:
10 + -8 + 2x + -11x + 24x = -20x + 3(x + 7)

Combine like terms: 10 + -8 = 2
2 + 2x + -11x + 24x = -20x + 3(x + 7)

Combine like terms: 2x + -11x = -9x
2 + -9x + 24x = -20x + 3(x + 7)

Combine like terms: -9x + 24x = 15x
2 + 15x = -20x + 3(x + 7)

Reorder the terms:
2 + 15x = -20x + 3(7 + x)
2 + 15x = -20x + (7 * 3 + x * 3)
2 + 15x = -20x + (21 + 3x)

Reorder the terms:
2 + 15x = 21 + -20x + 3x

Combine like terms: -20x + 3x = -17x
2 + 15x = 21 + -17x

Solving
2 + 15x = 21 + -17x

Solving for variable 'x'.

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

Add '17x' to each side of the equation.
2 + 15x + 17x = 21 + -17x + 17x

Combine like terms: 15x + 17x = 32x
2 + 32x = 21 + -17x + 17x

Combine like terms: -17x + 17x = 0
2 + 32x = 21 + 0
2 + 32x = 21

Add '-2' to each side of the equation.
2 + -2 + 32x = 21 + -2

Combine like terms: 2 + -2 = 0
0 + 32x = 21 + -2
32x = 21 + -2

Combine like terms: 21 + -2 = 19
32x = 19

Divide each side by '32'.
x = 0.59375

Simplifying
x = 0.59375

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