4[2x-3]=5x+7

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Solution for 4[2x-3]=5x+7 equation:


Simplifying
4[2x + -3] = 5x + 7

Reorder the terms:
4[-3 + 2x] = 5x + 7
[-3 * 4 + 2x * 4] = 5x + 7
[-12 + 8x] = 5x + 7

Reorder the terms:
-12 + 8x = 7 + 5x

Solving
-12 + 8x = 7 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-12 + 8x + -5x = 7 + 5x + -5x

Combine like terms: 8x + -5x = 3x
-12 + 3x = 7 + 5x + -5x

Combine like terms: 5x + -5x = 0
-12 + 3x = 7 + 0
-12 + 3x = 7

Add '12' to each side of the equation.
-12 + 12 + 3x = 7 + 12

Combine like terms: -12 + 12 = 0
0 + 3x = 7 + 12
3x = 7 + 12

Combine like terms: 7 + 12 = 19
3x = 19

Divide each side by '3'.
x = 6.333333333

Simplifying
x = 6.333333333

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