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

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


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

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

Reorder the terms:
4 + -1 + -2x + -3(7 + -2x) = 4(x + -1) + -2(x + 3)
4 + -1 + -2x + (7 * -3 + -2x * -3) = 4(x + -1) + -2(x + 3)
4 + -1 + -2x + (-21 + 6x) = 4(x + -1) + -2(x + 3)

Reorder the terms:
4 + -1 + -21 + -2x + 6x = 4(x + -1) + -2(x + 3)

Combine like terms: 4 + -1 = 3
3 + -21 + -2x + 6x = 4(x + -1) + -2(x + 3)

Combine like terms: 3 + -21 = -18
-18 + -2x + 6x = 4(x + -1) + -2(x + 3)

Combine like terms: -2x + 6x = 4x
-18 + 4x = 4(x + -1) + -2(x + 3)

Reorder the terms:
-18 + 4x = 4(-1 + x) + -2(x + 3)
-18 + 4x = (-1 * 4 + x * 4) + -2(x + 3)
-18 + 4x = (-4 + 4x) + -2(x + 3)

Reorder the terms:
-18 + 4x = -4 + 4x + -2(3 + x)
-18 + 4x = -4 + 4x + (3 * -2 + x * -2)
-18 + 4x = -4 + 4x + (-6 + -2x)

Reorder the terms:
-18 + 4x = -4 + -6 + 4x + -2x

Combine like terms: -4 + -6 = -10
-18 + 4x = -10 + 4x + -2x

Combine like terms: 4x + -2x = 2x
-18 + 4x = -10 + 2x

Solving
-18 + 4x = -10 + 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.
-18 + 4x + -2x = -10 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-18 + 2x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-18 + 2x = -10 + 0
-18 + 2x = -10

Add '18' to each side of the equation.
-18 + 18 + 2x = -10 + 18

Combine like terms: -18 + 18 = 0
0 + 2x = -10 + 18
2x = -10 + 18

Combine like terms: -10 + 18 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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