7-(3x+1)+8(2x-3)=4(3x-1)-7(x-4)

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Solution for 7-(3x+1)+8(2x-3)=4(3x-1)-7(x-4) equation:


Simplifying
7 + -1(3x + 1) + 8(2x + -3) = 4(3x + -1) + -7(x + -4)

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

Reorder the terms:
7 + -1 + -3x + 8(-3 + 2x) = 4(3x + -1) + -7(x + -4)
7 + -1 + -3x + (-3 * 8 + 2x * 8) = 4(3x + -1) + -7(x + -4)
7 + -1 + -3x + (-24 + 16x) = 4(3x + -1) + -7(x + -4)

Reorder the terms:
7 + -1 + -24 + -3x + 16x = 4(3x + -1) + -7(x + -4)

Combine like terms: 7 + -1 = 6
6 + -24 + -3x + 16x = 4(3x + -1) + -7(x + -4)

Combine like terms: 6 + -24 = -18
-18 + -3x + 16x = 4(3x + -1) + -7(x + -4)

Combine like terms: -3x + 16x = 13x
-18 + 13x = 4(3x + -1) + -7(x + -4)

Reorder the terms:
-18 + 13x = 4(-1 + 3x) + -7(x + -4)
-18 + 13x = (-1 * 4 + 3x * 4) + -7(x + -4)
-18 + 13x = (-4 + 12x) + -7(x + -4)

Reorder the terms:
-18 + 13x = -4 + 12x + -7(-4 + x)
-18 + 13x = -4 + 12x + (-4 * -7 + x * -7)
-18 + 13x = -4 + 12x + (28 + -7x)

Reorder the terms:
-18 + 13x = -4 + 28 + 12x + -7x

Combine like terms: -4 + 28 = 24
-18 + 13x = 24 + 12x + -7x

Combine like terms: 12x + -7x = 5x
-18 + 13x = 24 + 5x

Solving
-18 + 13x = 24 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-18 + 13x + -5x = 24 + 5x + -5x

Combine like terms: 13x + -5x = 8x
-18 + 8x = 24 + 5x + -5x

Combine like terms: 5x + -5x = 0
-18 + 8x = 24 + 0
-18 + 8x = 24

Add '18' to each side of the equation.
-18 + 18 + 8x = 24 + 18

Combine like terms: -18 + 18 = 0
0 + 8x = 24 + 18
8x = 24 + 18

Combine like terms: 24 + 18 = 42
8x = 42

Divide each side by '8'.
x = 5.25

Simplifying
x = 5.25

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