7-2(5-4x)=3x-(8-3x)

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Solution for 7-2(5-4x)=3x-(8-3x) equation:


Simplifying
7 + -2(5 + -4x) = 3x + -1(8 + -3x)
7 + (5 * -2 + -4x * -2) = 3x + -1(8 + -3x)
7 + (-10 + 8x) = 3x + -1(8 + -3x)

Combine like terms: 7 + -10 = -3
-3 + 8x = 3x + -1(8 + -3x)
-3 + 8x = 3x + (8 * -1 + -3x * -1)
-3 + 8x = 3x + (-8 + 3x)

Reorder the terms:
-3 + 8x = -8 + 3x + 3x

Combine like terms: 3x + 3x = 6x
-3 + 8x = -8 + 6x

Solving
-3 + 8x = -8 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-3 + 8x + -6x = -8 + 6x + -6x

Combine like terms: 8x + -6x = 2x
-3 + 2x = -8 + 6x + -6x

Combine like terms: 6x + -6x = 0
-3 + 2x = -8 + 0
-3 + 2x = -8

Add '3' to each side of the equation.
-3 + 3 + 2x = -8 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = -8 + 3
2x = -8 + 3

Combine like terms: -8 + 3 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

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