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

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


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

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

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

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

Reorder the terms:
20 + 13x = 33 + 7x + -6x

Combine like terms: 7x + -6x = 1x
20 + 13x = 33 + 1x

Solving
20 + 13x = 33 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
20 + 13x + -1x = 33 + 1x + -1x

Combine like terms: 13x + -1x = 12x
20 + 12x = 33 + 1x + -1x

Combine like terms: 1x + -1x = 0
20 + 12x = 33 + 0
20 + 12x = 33

Add '-20' to each side of the equation.
20 + -20 + 12x = 33 + -20

Combine like terms: 20 + -20 = 0
0 + 12x = 33 + -20
12x = 33 + -20

Combine like terms: 33 + -20 = 13
12x = 13

Divide each side by '12'.
x = 1.083333333

Simplifying
x = 1.083333333

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