2(4x-5)+3x=7x+2

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Solution for 2(4x-5)+3x=7x+2 equation:


Simplifying
2(4x + -5) + 3x = 7x + 2

Reorder the terms:
2(-5 + 4x) + 3x = 7x + 2
(-5 * 2 + 4x * 2) + 3x = 7x + 2
(-10 + 8x) + 3x = 7x + 2

Combine like terms: 8x + 3x = 11x
-10 + 11x = 7x + 2

Reorder the terms:
-10 + 11x = 2 + 7x

Solving
-10 + 11x = 2 + 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.
-10 + 11x + -7x = 2 + 7x + -7x

Combine like terms: 11x + -7x = 4x
-10 + 4x = 2 + 7x + -7x

Combine like terms: 7x + -7x = 0
-10 + 4x = 2 + 0
-10 + 4x = 2

Add '10' to each side of the equation.
-10 + 10 + 4x = 2 + 10

Combine like terms: -10 + 10 = 0
0 + 4x = 2 + 10
4x = 2 + 10

Combine like terms: 2 + 10 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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