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

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


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

Reorder the terms:
-2x + 1 + 5(-2 + x) = -4(3 + -1x) + 1
-2x + 1 + (-2 * 5 + x * 5) = -4(3 + -1x) + 1
-2x + 1 + (-10 + 5x) = -4(3 + -1x) + 1

Reorder the terms:
1 + -10 + -2x + 5x = -4(3 + -1x) + 1

Combine like terms: 1 + -10 = -9
-9 + -2x + 5x = -4(3 + -1x) + 1

Combine like terms: -2x + 5x = 3x
-9 + 3x = -4(3 + -1x) + 1
-9 + 3x = (3 * -4 + -1x * -4) + 1
-9 + 3x = (-12 + 4x) + 1

Reorder the terms:
-9 + 3x = -12 + 1 + 4x

Combine like terms: -12 + 1 = -11
-9 + 3x = -11 + 4x

Solving
-9 + 3x = -11 + 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.
-9 + 3x + -4x = -11 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-9 + -1x = -11 + 4x + -4x

Combine like terms: 4x + -4x = 0
-9 + -1x = -11 + 0
-9 + -1x = -11

Add '9' to each side of the equation.
-9 + 9 + -1x = -11 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = -11 + 9
-1x = -11 + 9

Combine like terms: -11 + 9 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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