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

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


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

Reorder the terms:
1 + -3(7 + x) = 2(2x + -1) + 3
1 + (7 * -3 + x * -3) = 2(2x + -1) + 3
1 + (-21 + -3x) = 2(2x + -1) + 3

Combine like terms: 1 + -21 = -20
-20 + -3x = 2(2x + -1) + 3

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

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

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

Solving
-20 + -3x = 1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-20 + -3x + -4x = 1 + 4x + -4x

Combine like terms: -3x + -4x = -7x
-20 + -7x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
-20 + -7x = 1 + 0
-20 + -7x = 1

Add '20' to each side of the equation.
-20 + 20 + -7x = 1 + 20

Combine like terms: -20 + 20 = 0
0 + -7x = 1 + 20
-7x = 1 + 20

Combine like terms: 1 + 20 = 21
-7x = 21

Divide each side by '-7'.
x = -3

Simplifying
x = -3

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