3(7x-3)-2(5+2x)=6(1)-1(x)

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Solution for 3(7x-3)-2(5+2x)=6(1)-1(x) equation:


Simplifying
3(7x + -3) + -2(5 + 2x) = 6(1) + -1(x)

Reorder the terms:
3(-3 + 7x) + -2(5 + 2x) = 6(1) + -1(x)
(-3 * 3 + 7x * 3) + -2(5 + 2x) = 6(1) + -1(x)
(-9 + 21x) + -2(5 + 2x) = 6(1) + -1(x)
-9 + 21x + (5 * -2 + 2x * -2) = 6(1) + -1(x)
-9 + 21x + (-10 + -4x) = 6(1) + -1(x)

Reorder the terms:
-9 + -10 + 21x + -4x = 6(1) + -1(x)

Combine like terms: -9 + -10 = -19
-19 + 21x + -4x = 6(1) + -1(x)

Combine like terms: 21x + -4x = 17x
-19 + 17x = 6(1) + -1(x)

Multiply 6 * 1
-19 + 17x = 6 + -1(x)

Solving
-19 + 17x = 6 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-19 + 17x + x = 6 + -1x + x

Combine like terms: 17x + x = 18x
-19 + 18x = 6 + -1x + x

Combine like terms: -1x + x = 0
-19 + 18x = 6 + 0
-19 + 18x = 6

Add '19' to each side of the equation.
-19 + 19 + 18x = 6 + 19

Combine like terms: -19 + 19 = 0
0 + 18x = 6 + 19
18x = 6 + 19

Combine like terms: 6 + 19 = 25
18x = 25

Divide each side by '18'.
x = 1.388888889

Simplifying
x = 1.388888889

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