5(3x+4)-2x=7x-(-2x+11)

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Solution for 5(3x+4)-2x=7x-(-2x+11) equation:


Simplifying
5(3x + 4) + -2x = 7x + -1(-2x + 11)

Reorder the terms:
5(4 + 3x) + -2x = 7x + -1(-2x + 11)
(4 * 5 + 3x * 5) + -2x = 7x + -1(-2x + 11)
(20 + 15x) + -2x = 7x + -1(-2x + 11)

Combine like terms: 15x + -2x = 13x
20 + 13x = 7x + -1(-2x + 11)

Reorder the terms:
20 + 13x = 7x + -1(11 + -2x)
20 + 13x = 7x + (11 * -1 + -2x * -1)
20 + 13x = 7x + (-11 + 2x)

Reorder the terms:
20 + 13x = -11 + 7x + 2x

Combine like terms: 7x + 2x = 9x
20 + 13x = -11 + 9x

Solving
20 + 13x = -11 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
20 + 13x + -9x = -11 + 9x + -9x

Combine like terms: 13x + -9x = 4x
20 + 4x = -11 + 9x + -9x

Combine like terms: 9x + -9x = 0
20 + 4x = -11 + 0
20 + 4x = -11

Add '-20' to each side of the equation.
20 + -20 + 4x = -11 + -20

Combine like terms: 20 + -20 = 0
0 + 4x = -11 + -20
4x = -11 + -20

Combine like terms: -11 + -20 = -31
4x = -31

Divide each side by '4'.
x = -7.75

Simplifying
x = -7.75

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