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

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Solution for 7x+4(3x-5)=1-2x equation:


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

Reorder the terms:
7x + 4(-5 + 3x) = 1 + -2x
7x + (-5 * 4 + 3x * 4) = 1 + -2x
7x + (-20 + 12x) = 1 + -2x

Reorder the terms:
-20 + 7x + 12x = 1 + -2x

Combine like terms: 7x + 12x = 19x
-20 + 19x = 1 + -2x

Solving
-20 + 19x = 1 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-20 + 19x + 2x = 1 + -2x + 2x

Combine like terms: 19x + 2x = 21x
-20 + 21x = 1 + -2x + 2x

Combine like terms: -2x + 2x = 0
-20 + 21x = 1 + 0
-20 + 21x = 1

Add '20' to each side of the equation.
-20 + 20 + 21x = 1 + 20

Combine like terms: -20 + 20 = 0
0 + 21x = 1 + 20
21x = 1 + 20

Combine like terms: 1 + 20 = 21
21x = 21

Divide each side by '21'.
x = 1

Simplifying
x = 1

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