4(x-2)=7x+8

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


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

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

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

Solving
-8 + 4x = 8 + 7x

Solving for variable 'x'.

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

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

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

Combine like terms: 7x + -7x = 0
-8 + -3x = 8 + 0
-8 + -3x = 8

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

Combine like terms: -8 + 8 = 0
0 + -3x = 8 + 8
-3x = 8 + 8

Combine like terms: 8 + 8 = 16
-3x = 16

Divide each side by '-3'.
x = -5.333333333

Simplifying
x = -5.333333333

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