2(4x+7)-8(3x-4)=6(2x+3)-7(2x-3)

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Solution for 2(4x+7)-8(3x-4)=6(2x+3)-7(2x-3) equation:


Simplifying
2(4x + 7) + -8(3x + -4) = 6(2x + 3) + -7(2x + -3)

Reorder the terms:
2(7 + 4x) + -8(3x + -4) = 6(2x + 3) + -7(2x + -3)
(7 * 2 + 4x * 2) + -8(3x + -4) = 6(2x + 3) + -7(2x + -3)
(14 + 8x) + -8(3x + -4) = 6(2x + 3) + -7(2x + -3)

Reorder the terms:
14 + 8x + -8(-4 + 3x) = 6(2x + 3) + -7(2x + -3)
14 + 8x + (-4 * -8 + 3x * -8) = 6(2x + 3) + -7(2x + -3)
14 + 8x + (32 + -24x) = 6(2x + 3) + -7(2x + -3)

Reorder the terms:
14 + 32 + 8x + -24x = 6(2x + 3) + -7(2x + -3)

Combine like terms: 14 + 32 = 46
46 + 8x + -24x = 6(2x + 3) + -7(2x + -3)

Combine like terms: 8x + -24x = -16x
46 + -16x = 6(2x + 3) + -7(2x + -3)

Reorder the terms:
46 + -16x = 6(3 + 2x) + -7(2x + -3)
46 + -16x = (3 * 6 + 2x * 6) + -7(2x + -3)
46 + -16x = (18 + 12x) + -7(2x + -3)

Reorder the terms:
46 + -16x = 18 + 12x + -7(-3 + 2x)
46 + -16x = 18 + 12x + (-3 * -7 + 2x * -7)
46 + -16x = 18 + 12x + (21 + -14x)

Reorder the terms:
46 + -16x = 18 + 21 + 12x + -14x

Combine like terms: 18 + 21 = 39
46 + -16x = 39 + 12x + -14x

Combine like terms: 12x + -14x = -2x
46 + -16x = 39 + -2x

Solving
46 + -16x = 39 + -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.
46 + -16x + 2x = 39 + -2x + 2x

Combine like terms: -16x + 2x = -14x
46 + -14x = 39 + -2x + 2x

Combine like terms: -2x + 2x = 0
46 + -14x = 39 + 0
46 + -14x = 39

Add '-46' to each side of the equation.
46 + -46 + -14x = 39 + -46

Combine like terms: 46 + -46 = 0
0 + -14x = 39 + -46
-14x = 39 + -46

Combine like terms: 39 + -46 = -7
-14x = -7

Divide each side by '-14'.
x = 0.5

Simplifying
x = 0.5

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