3x+4=8x-7

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


Simplifying
3x + 4 = 8x + -7

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

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

Solving
4 + 3x = -7 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
4 + 3x + -8x = -7 + 8x + -8x

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

Combine like terms: 8x + -8x = 0
4 + -5x = -7 + 0
4 + -5x = -7

Add '-4' to each side of the equation.
4 + -4 + -5x = -7 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = -7 + -4
-5x = -7 + -4

Combine like terms: -7 + -4 = -11
-5x = -11

Divide each side by '-5'.
x = 2.2

Simplifying
x = 2.2

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