4+5(2x-7)=11(2x-3)+20

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Solution for 4+5(2x-7)=11(2x-3)+20 equation: 


Simplifying
4 + 5(2x + -7) = 11(2x + -3) + 20

Reorder the terms:
4 + 5(-7 + 2x) = 11(2x + -3) + 20
4 + (-7 * 5 + 2x * 5) = 11(2x + -3) + 20
4 + (-35 + 10x) = 11(2x + -3) + 20

Combine like terms: 4 + -35 = -31
-31 + 10x = 11(2x + -3) + 20

Reorder the terms:
-31 + 10x = 11(-3 + 2x) + 20
-31 + 10x = (-3 * 11 + 2x * 11) + 20
-31 + 10x = (-33 + 22x) + 20

Reorder the terms:
-31 + 10x = -33 + 20 + 22x

Combine like terms: -33 + 20 = -13
-31 + 10x = -13 + 22x

Solving
-31 + 10x = -13 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
-31 + 10x + -22x = -13 + 22x + -22x

Combine like terms: 10x + -22x = -12x
-31 + -12x = -13 + 22x + -22x

Combine like terms: 22x + -22x = 0
-31 + -12x = -13 + 0
-31 + -12x = -13

Add '31' to each side of the equation.
-31 + 31 + -12x = -13 + 31

Combine like terms: -31 + 31 = 0
0 + -12x = -13 + 31
-12x = -13 + 31

Combine like terms: -13 + 31 = 18
-12x = 18

Divide each side by '-12'.
x = -1.5

Simplifying
x = -1.5

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