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

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


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

Reorder the terms:
4 + -3(1 + 2x) + 4(3x + -5) + x = 2x + -3
4 + (1 * -3 + 2x * -3) + 4(3x + -5) + x = 2x + -3
4 + (-3 + -6x) + 4(3x + -5) + x = 2x + -3

Reorder the terms:
4 + -3 + -6x + 4(-5 + 3x) + x = 2x + -3
4 + -3 + -6x + (-5 * 4 + 3x * 4) + x = 2x + -3
4 + -3 + -6x + (-20 + 12x) + x = 2x + -3

Reorder the terms:
4 + -3 + -20 + -6x + 12x + x = 2x + -3

Combine like terms: 4 + -3 = 1
1 + -20 + -6x + 12x + x = 2x + -3

Combine like terms: 1 + -20 = -19
-19 + -6x + 12x + x = 2x + -3

Combine like terms: -6x + 12x = 6x
-19 + 6x + x = 2x + -3

Combine like terms: 6x + x = 7x
-19 + 7x = 2x + -3

Reorder the terms:
-19 + 7x = -3 + 2x

Solving
-19 + 7x = -3 + 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.
-19 + 7x + -2x = -3 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-19 + 5x = -3 + 2x + -2x

Combine like terms: 2x + -2x = 0
-19 + 5x = -3 + 0
-19 + 5x = -3

Add '19' to each side of the equation.
-19 + 19 + 5x = -3 + 19

Combine like terms: -19 + 19 = 0
0 + 5x = -3 + 19
5x = -3 + 19

Combine like terms: -3 + 19 = 16
5x = 16

Divide each side by '5'.
x = 3.2

Simplifying
x = 3.2

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