2(4x-3)+3(2x+4)=5(2x+10)

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Solution for 2(4x-3)+3(2x+4)=5(2x+10) equation:


Simplifying
2(4x + -3) + 3(2x + 4) = 5(2x + 10)

Reorder the terms:
2(-3 + 4x) + 3(2x + 4) = 5(2x + 10)
(-3 * 2 + 4x * 2) + 3(2x + 4) = 5(2x + 10)
(-6 + 8x) + 3(2x + 4) = 5(2x + 10)

Reorder the terms:
-6 + 8x + 3(4 + 2x) = 5(2x + 10)
-6 + 8x + (4 * 3 + 2x * 3) = 5(2x + 10)
-6 + 8x + (12 + 6x) = 5(2x + 10)

Reorder the terms:
-6 + 12 + 8x + 6x = 5(2x + 10)

Combine like terms: -6 + 12 = 6
6 + 8x + 6x = 5(2x + 10)

Combine like terms: 8x + 6x = 14x
6 + 14x = 5(2x + 10)

Reorder the terms:
6 + 14x = 5(10 + 2x)
6 + 14x = (10 * 5 + 2x * 5)
6 + 14x = (50 + 10x)

Solving
6 + 14x = 50 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
6 + 14x + -10x = 50 + 10x + -10x

Combine like terms: 14x + -10x = 4x
6 + 4x = 50 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + 4x = 50 + 0
6 + 4x = 50

Add '-6' to each side of the equation.
6 + -6 + 4x = 50 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 50 + -6
4x = 50 + -6

Combine like terms: 50 + -6 = 44
4x = 44

Divide each side by '4'.
x = 11

Simplifying
x = 11

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