4x+17(4x+5)=7x+5(21)

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Solution for 4x+17(4x+5)=7x+5(21) equation:


Simplifying
4x + 17(4x + 5) = 7x + 5(21)

Reorder the terms:
4x + 17(5 + 4x) = 7x + 5(21)
4x + (5 * 17 + 4x * 17) = 7x + 5(21)
4x + (85 + 68x) = 7x + 5(21)

Reorder the terms:
85 + 4x + 68x = 7x + 5(21)

Combine like terms: 4x + 68x = 72x
85 + 72x = 7x + 5(21)

Multiply 5 * 21
85 + 72x = 7x + 105

Reorder the terms:
85 + 72x = 105 + 7x

Solving
85 + 72x = 105 + 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.
85 + 72x + -7x = 105 + 7x + -7x

Combine like terms: 72x + -7x = 65x
85 + 65x = 105 + 7x + -7x

Combine like terms: 7x + -7x = 0
85 + 65x = 105 + 0
85 + 65x = 105

Add '-85' to each side of the equation.
85 + -85 + 65x = 105 + -85

Combine like terms: 85 + -85 = 0
0 + 65x = 105 + -85
65x = 105 + -85

Combine like terms: 105 + -85 = 20
65x = 20

Divide each side by '65'.
x = 0.3076923077

Simplifying
x = 0.3076923077

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