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

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

Reorder the terms:
10 + -4 + 4 + -8x + -3x = -9x + 4 + -4x

Combine like terms: 10 + -4 = 6
6 + 4 + -8x + -3x = -9x + 4 + -4x

Combine like terms: 6 + 4 = 10
10 + -8x + -3x = -9x + 4 + -4x

Combine like terms: -8x + -3x = -11x
10 + -11x = -9x + 4 + -4x

Reorder the terms:
10 + -11x = 4 + -9x + -4x

Combine like terms: -9x + -4x = -13x
10 + -11x = 4 + -13x

Solving
10 + -11x = 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.
10 + -11x + 13x = 4 + -13x + 13x

Combine like terms: -11x + 13x = 2x
10 + 2x = 4 + -13x + 13x

Combine like terms: -13x + 13x = 0
10 + 2x = 4 + 0
10 + 2x = 4

Add '-10' to each side of the equation.
10 + -10 + 2x = 4 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = 4 + -10
2x = 4 + -10

Combine like terms: 4 + -10 = -6
2x = -6

Divide each side by '2'.
x = -3

Simplifying
x = -3

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