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

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


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

Reorder the terms:
3(2 + x) + -5 = 7 + -4(-2x + 1)
(2 * 3 + x * 3) + -5 = 7 + -4(-2x + 1)
(6 + 3x) + -5 = 7 + -4(-2x + 1)

Reorder the terms:
6 + -5 + 3x = 7 + -4(-2x + 1)

Combine like terms: 6 + -5 = 1
1 + 3x = 7 + -4(-2x + 1)

Reorder the terms:
1 + 3x = 7 + -4(1 + -2x)
1 + 3x = 7 + (1 * -4 + -2x * -4)
1 + 3x = 7 + (-4 + 8x)

Combine like terms: 7 + -4 = 3
1 + 3x = 3 + 8x

Solving
1 + 3x = 3 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
1 + 3x + -8x = 3 + 8x + -8x

Combine like terms: 3x + -8x = -5x
1 + -5x = 3 + 8x + -8x

Combine like terms: 8x + -8x = 0
1 + -5x = 3 + 0
1 + -5x = 3

Add '-1' to each side of the equation.
1 + -1 + -5x = 3 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = 3 + -1
-5x = 3 + -1

Combine like terms: 3 + -1 = 2
-5x = 2

Divide each side by '-5'.
x = -0.4

Simplifying
x = -0.4

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