6(x-4)+3(x+7)-2(2x+4)=-1

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Solution for 6(x-4)+3(x+7)-2(2x+4)=-1 equation:


Simplifying
6(x + -4) + 3(x + 7) + -2(2x + 4) = -1

Reorder the terms:
6(-4 + x) + 3(x + 7) + -2(2x + 4) = -1
(-4 * 6 + x * 6) + 3(x + 7) + -2(2x + 4) = -1
(-24 + 6x) + 3(x + 7) + -2(2x + 4) = -1

Reorder the terms:
-24 + 6x + 3(7 + x) + -2(2x + 4) = -1
-24 + 6x + (7 * 3 + x * 3) + -2(2x + 4) = -1
-24 + 6x + (21 + 3x) + -2(2x + 4) = -1

Reorder the terms:
-24 + 6x + 21 + 3x + -2(4 + 2x) = -1
-24 + 6x + 21 + 3x + (4 * -2 + 2x * -2) = -1
-24 + 6x + 21 + 3x + (-8 + -4x) = -1

Reorder the terms:
-24 + 21 + -8 + 6x + 3x + -4x = -1

Combine like terms: -24 + 21 = -3
-3 + -8 + 6x + 3x + -4x = -1

Combine like terms: -3 + -8 = -11
-11 + 6x + 3x + -4x = -1

Combine like terms: 6x + 3x = 9x
-11 + 9x + -4x = -1

Combine like terms: 9x + -4x = 5x
-11 + 5x = -1

Solving
-11 + 5x = -1

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + 5x = -1 + 11

Combine like terms: -11 + 11 = 0
0 + 5x = -1 + 11
5x = -1 + 11

Combine like terms: -1 + 11 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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