10-4(2x+1)-(3x)(-4)=-9x+4-4x

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Solution for 10-4(2x+1)-(3x)(-4)=-9x+4-4x equation:


Simplifying
10 + -4(2x + 1) + -1(3x)(-4) = -9x + 4 + -4x

Reorder the terms:
10 + -4(1 + 2x) + -1(3x)(-4) = -9x + 4 + -4x
10 + (1 * -4 + 2x * -4) + -1(3x)(-4) = -9x + 4 + -4x
10 + (-4 + -8x) + -1(3x)(-4) = -9x + 4 + -4x

Remove parenthesis around (3x)
10 + -4 + -8x + -1 * 3x(-4) = -9x + 4 + -4x

Reorder the terms for easier multiplication:
10 + -4 + -8x + -1 * 3 * -4x = -9x + 4 + -4x

Multiply -1 * 3
10 + -4 + -8x + -3 * -4x = -9x + 4 + -4x

Multiply -3 * -4
10 + -4 + -8x + 12x = -9x + 4 + -4x

Combine like terms: 10 + -4 = 6
6 + -8x + 12x = -9x + 4 + -4x

Combine like terms: -8x + 12x = 4x
6 + 4x = -9x + 4 + -4x

Reorder the terms:
6 + 4x = 4 + -9x + -4x

Combine like terms: -9x + -4x = -13x
6 + 4x = 4 + -13x

Solving
6 + 4x = 4 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
6 + 4x + 13x = 4 + -13x + 13x

Combine like terms: 4x + 13x = 17x
6 + 17x = 4 + -13x + 13x

Combine like terms: -13x + 13x = 0
6 + 17x = 4 + 0
6 + 17x = 4

Add '-6' to each side of the equation.
6 + -6 + 17x = 4 + -6

Combine like terms: 6 + -6 = 0
0 + 17x = 4 + -6
17x = 4 + -6

Combine like terms: 4 + -6 = -2
17x = -2

Divide each side by '17'.
x = -0.1176470588

Simplifying
x = -0.1176470588

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