x+13x-11=-6(3x-5)-4

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Solution for x+13x-11=-6(3x-5)-4 equation:


Simplifying
x + 13x + -11 = -6(3x + -5) + -4

Reorder the terms:
-11 + x + 13x = -6(3x + -5) + -4

Combine like terms: x + 13x = 14x
-11 + 14x = -6(3x + -5) + -4

Reorder the terms:
-11 + 14x = -6(-5 + 3x) + -4
-11 + 14x = (-5 * -6 + 3x * -6) + -4
-11 + 14x = (30 + -18x) + -4

Reorder the terms:
-11 + 14x = 30 + -4 + -18x

Combine like terms: 30 + -4 = 26
-11 + 14x = 26 + -18x

Solving
-11 + 14x = 26 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
-11 + 14x + 18x = 26 + -18x + 18x

Combine like terms: 14x + 18x = 32x
-11 + 32x = 26 + -18x + 18x

Combine like terms: -18x + 18x = 0
-11 + 32x = 26 + 0
-11 + 32x = 26

Add '11' to each side of the equation.
-11 + 11 + 32x = 26 + 11

Combine like terms: -11 + 11 = 0
0 + 32x = 26 + 11
32x = 26 + 11

Combine like terms: 26 + 11 = 37
32x = 37

Divide each side by '32'.
x = 1.15625

Simplifying
x = 1.15625

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