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

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


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

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

Combine like terms: 15x + -2x = 13x
20 + 13x = 7 + -3(-2x + 11)

Reorder the terms:
20 + 13x = 7 + -3(11 + -2x)
20 + 13x = 7 + (11 * -3 + -2x * -3)
20 + 13x = 7 + (-33 + 6x)

Combine like terms: 7 + -33 = -26
20 + 13x = -26 + 6x

Solving
20 + 13x = -26 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
20 + 13x + -6x = -26 + 6x + -6x

Combine like terms: 13x + -6x = 7x
20 + 7x = -26 + 6x + -6x

Combine like terms: 6x + -6x = 0
20 + 7x = -26 + 0
20 + 7x = -26

Add '-20' to each side of the equation.
20 + -20 + 7x = -26 + -20

Combine like terms: 20 + -20 = 0
0 + 7x = -26 + -20
7x = -26 + -20

Combine like terms: -26 + -20 = -46
7x = -46

Divide each side by '7'.
x = -6.571428571

Simplifying
x = -6.571428571

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