4(2x-3)=3(5x+1)+2

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Solution for 4(2x-3)=3(5x+1)+2 equation:


Simplifying
4(2x + -3) = 3(5x + 1) + 2

Reorder the terms:
4(-3 + 2x) = 3(5x + 1) + 2
(-3 * 4 + 2x * 4) = 3(5x + 1) + 2
(-12 + 8x) = 3(5x + 1) + 2

Reorder the terms:
-12 + 8x = 3(1 + 5x) + 2
-12 + 8x = (1 * 3 + 5x * 3) + 2
-12 + 8x = (3 + 15x) + 2

Reorder the terms:
-12 + 8x = 3 + 2 + 15x

Combine like terms: 3 + 2 = 5
-12 + 8x = 5 + 15x

Solving
-12 + 8x = 5 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-12 + 8x + -15x = 5 + 15x + -15x

Combine like terms: 8x + -15x = -7x
-12 + -7x = 5 + 15x + -15x

Combine like terms: 15x + -15x = 0
-12 + -7x = 5 + 0
-12 + -7x = 5

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

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

Combine like terms: 5 + 12 = 17
-7x = 17

Divide each side by '-7'.
x = -2.428571429

Simplifying
x = -2.428571429

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