4(x-2)=8x+7

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


Simplifying
4(x + -2) = 8x + 7

Reorder the terms:
4(-2 + x) = 8x + 7
(-2 * 4 + x * 4) = 8x + 7
(-8 + 4x) = 8x + 7

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

Solving
-8 + 4x = 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.
-8 + 4x + -8x = 7 + 8x + -8x

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

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

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

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

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

Divide each side by '-4'.
x = -3.75

Simplifying
x = -3.75

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