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

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


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

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

Remove parenthesis around (-5 + 3x)
-5 + 3x + 8 = 4x + -7

Reorder the terms:
-5 + 8 + 3x = 4x + -7

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

Reorder the terms:
3 + 3x = -7 + 4x

Solving
3 + 3x = -7 + 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.
3 + 3x + -4x = -7 + 4x + -4x

Combine like terms: 3x + -4x = -1x
3 + -1x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
3 + -1x = -7 + 0
3 + -1x = -7

Add '-3' to each side of the equation.
3 + -3 + -1x = -7 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = -7 + -3
-1x = -7 + -3

Combine like terms: -7 + -3 = -10
-1x = -10

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

Simplifying
x = 10

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