3(2-x)-8(9-4x)=7+3(x-4)

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Solution for 3(2-x)-8(9-4x)=7+3(x-4) equation:


Simplifying
3(2 + -1x) + -8(9 + -4x) = 7 + 3(x + -4)
(2 * 3 + -1x * 3) + -8(9 + -4x) = 7 + 3(x + -4)
(6 + -3x) + -8(9 + -4x) = 7 + 3(x + -4)
6 + -3x + (9 * -8 + -4x * -8) = 7 + 3(x + -4)
6 + -3x + (-72 + 32x) = 7 + 3(x + -4)

Reorder the terms:
6 + -72 + -3x + 32x = 7 + 3(x + -4)

Combine like terms: 6 + -72 = -66
-66 + -3x + 32x = 7 + 3(x + -4)

Combine like terms: -3x + 32x = 29x
-66 + 29x = 7 + 3(x + -4)

Reorder the terms:
-66 + 29x = 7 + 3(-4 + x)
-66 + 29x = 7 + (-4 * 3 + x * 3)
-66 + 29x = 7 + (-12 + 3x)

Combine like terms: 7 + -12 = -5
-66 + 29x = -5 + 3x

Solving
-66 + 29x = -5 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-66 + 29x + -3x = -5 + 3x + -3x

Combine like terms: 29x + -3x = 26x
-66 + 26x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
-66 + 26x = -5 + 0
-66 + 26x = -5

Add '66' to each side of the equation.
-66 + 66 + 26x = -5 + 66

Combine like terms: -66 + 66 = 0
0 + 26x = -5 + 66
26x = -5 + 66

Combine like terms: -5 + 66 = 61
26x = 61

Divide each side by '26'.
x = 2.346153846

Simplifying
x = 2.346153846

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