2(4x-3)-3(3x-1)-4(x+1)=5

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Solution for 2(4x-3)-3(3x-1)-4(x+1)=5 equation:


Simplifying
2(4x + -3) + -3(3x + -1) + -4(x + 1) = 5

Reorder the terms:
2(-3 + 4x) + -3(3x + -1) + -4(x + 1) = 5
(-3 * 2 + 4x * 2) + -3(3x + -1) + -4(x + 1) = 5
(-6 + 8x) + -3(3x + -1) + -4(x + 1) = 5

Reorder the terms:
-6 + 8x + -3(-1 + 3x) + -4(x + 1) = 5
-6 + 8x + (-1 * -3 + 3x * -3) + -4(x + 1) = 5
-6 + 8x + (3 + -9x) + -4(x + 1) = 5

Reorder the terms:
-6 + 8x + 3 + -9x + -4(1 + x) = 5
-6 + 8x + 3 + -9x + (1 * -4 + x * -4) = 5
-6 + 8x + 3 + -9x + (-4 + -4x) = 5

Reorder the terms:
-6 + 3 + -4 + 8x + -9x + -4x = 5

Combine like terms: -6 + 3 = -3
-3 + -4 + 8x + -9x + -4x = 5

Combine like terms: -3 + -4 = -7
-7 + 8x + -9x + -4x = 5

Combine like terms: 8x + -9x = -1x
-7 + -1x + -4x = 5

Combine like terms: -1x + -4x = -5x
-7 + -5x = 5

Solving
-7 + -5x = 5

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + -5x = 5 + 7

Combine like terms: -7 + 7 = 0
0 + -5x = 5 + 7
-5x = 5 + 7

Combine like terms: 5 + 7 = 12
-5x = 12

Divide each side by '-5'.
x = -2.4

Simplifying
x = -2.4

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