2(5x-4)+9=7(x+1)

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Solution for 2(5x-4)+9=7(x+1) equation:


Simplifying
2(5x + -4) + 9 = 7(x + 1)

Reorder the terms:
2(-4 + 5x) + 9 = 7(x + 1)
(-4 * 2 + 5x * 2) + 9 = 7(x + 1)
(-8 + 10x) + 9 = 7(x + 1)

Reorder the terms:
-8 + 9 + 10x = 7(x + 1)

Combine like terms: -8 + 9 = 1
1 + 10x = 7(x + 1)

Reorder the terms:
1 + 10x = 7(1 + x)
1 + 10x = (1 * 7 + x * 7)
1 + 10x = (7 + 7x)

Solving
1 + 10x = 7 + 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.
1 + 10x + -7x = 7 + 7x + -7x

Combine like terms: 10x + -7x = 3x
1 + 3x = 7 + 7x + -7x

Combine like terms: 7x + -7x = 0
1 + 3x = 7 + 0
1 + 3x = 7

Add '-1' to each side of the equation.
1 + -1 + 3x = 7 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 7 + -1
3x = 7 + -1

Combine like terms: 7 + -1 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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