7x-(3x+11)=-6(5-3x)

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Solution for 7x-(3x+11)=-6(5-3x) equation:


Simplifying
7x + -1(3x + 11) = -6(5 + -3x)

Reorder the terms:
7x + -1(11 + 3x) = -6(5 + -3x)
7x + (11 * -1 + 3x * -1) = -6(5 + -3x)
7x + (-11 + -3x) = -6(5 + -3x)

Reorder the terms:
-11 + 7x + -3x = -6(5 + -3x)

Combine like terms: 7x + -3x = 4x
-11 + 4x = -6(5 + -3x)
-11 + 4x = (5 * -6 + -3x * -6)
-11 + 4x = (-30 + 18x)

Solving
-11 + 4x = -30 + 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 + 4x + -18x = -30 + 18x + -18x

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

Combine like terms: 18x + -18x = 0
-11 + -14x = -30 + 0
-11 + -14x = -30

Add '11' to each side of the equation.
-11 + 11 + -14x = -30 + 11

Combine like terms: -11 + 11 = 0
0 + -14x = -30 + 11
-14x = -30 + 11

Combine like terms: -30 + 11 = -19
-14x = -19

Divide each side by '-14'.
x = 1.357142857

Simplifying
x = 1.357142857

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