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

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


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

Reorder the terms:
7 + -1(-8 + 3x) = 5 + -4x
7 + (-8 * -1 + 3x * -1) = 5 + -4x
7 + (8 + -3x) = 5 + -4x

Combine like terms: 7 + 8 = 15
15 + -3x = 5 + -4x

Solving
15 + -3x = 5 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
15 + -3x + 4x = 5 + -4x + 4x

Combine like terms: -3x + 4x = 1x
15 + 1x = 5 + -4x + 4x

Combine like terms: -4x + 4x = 0
15 + 1x = 5 + 0
15 + 1x = 5

Add '-15' to each side of the equation.
15 + -15 + 1x = 5 + -15

Combine like terms: 15 + -15 = 0
0 + 1x = 5 + -15
1x = 5 + -15

Combine like terms: 5 + -15 = -10
1x = -10

Divide each side by '1'.
x = -10

Simplifying
x = -10

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