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

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


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

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

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

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

Combine like terms: -9x + -3x = -12x
-4 + -8x = 4 + -12x

Solving
-4 + -8x = 4 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-4 + -8x + 12x = 4 + -12x + 12x

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

Combine like terms: -12x + 12x = 0
-4 + 4x = 4 + 0
-4 + 4x = 4

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

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

Combine like terms: 4 + 4 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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