10.5x+4=4x+3+8x-11

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Solution for 10.5x+4=4x+3+8x-11 equation:


Simplifying
10.5x + 4 = 4x + 3 + 8x + -11

Reorder the terms:
4 + 10.5x = 4x + 3 + 8x + -11

Reorder the terms:
4 + 10.5x = 3 + -11 + 4x + 8x

Combine like terms: 3 + -11 = -8
4 + 10.5x = -8 + 4x + 8x

Combine like terms: 4x + 8x = 12x
4 + 10.5x = -8 + 12x

Solving
4 + 10.5x = -8 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
4 + 10.5x + -12x = -8 + 12x + -12x

Combine like terms: 10.5x + -12x = -1.5x
4 + -1.5x = -8 + 12x + -12x

Combine like terms: 12x + -12x = 0
4 + -1.5x = -8 + 0
4 + -1.5x = -8

Add '-4' to each side of the equation.
4 + -4 + -1.5x = -8 + -4

Combine like terms: 4 + -4 = 0
0 + -1.5x = -8 + -4
-1.5x = -8 + -4

Combine like terms: -8 + -4 = -12
-1.5x = -12

Divide each side by '-1.5'.
x = 8

Simplifying
x = 8

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