2(2x-1)+4=7x-8

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Solution for 2(2x-1)+4=7x-8 equation:


Simplifying
2(2x + -1) + 4 = 7x + -8

Reorder the terms:
2(-1 + 2x) + 4 = 7x + -8
(-1 * 2 + 2x * 2) + 4 = 7x + -8
(-2 + 4x) + 4 = 7x + -8

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

Combine like terms: -2 + 4 = 2
2 + 4x = 7x + -8

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

Solving
2 + 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.
2 + 4x + -7x = -8 + 7x + -7x

Combine like terms: 4x + -7x = -3x
2 + -3x = -8 + 7x + -7x

Combine like terms: 7x + -7x = 0
2 + -3x = -8 + 0
2 + -3x = -8

Add '-2' to each side of the equation.
2 + -2 + -3x = -8 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = -8 + -2
-3x = -8 + -2

Combine like terms: -8 + -2 = -10
-3x = -10

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333

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