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

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


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

Reorder the terms:
5(7 + 2x) + -1 = 4(x + -5) + 9
(7 * 5 + 2x * 5) + -1 = 4(x + -5) + 9
(35 + 10x) + -1 = 4(x + -5) + 9

Reorder the terms:
35 + -1 + 10x = 4(x + -5) + 9

Combine like terms: 35 + -1 = 34
34 + 10x = 4(x + -5) + 9

Reorder the terms:
34 + 10x = 4(-5 + x) + 9
34 + 10x = (-5 * 4 + x * 4) + 9
34 + 10x = (-20 + 4x) + 9

Reorder the terms:
34 + 10x = -20 + 9 + 4x

Combine like terms: -20 + 9 = -11
34 + 10x = -11 + 4x

Solving
34 + 10x = -11 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
34 + 10x + -4x = -11 + 4x + -4x

Combine like terms: 10x + -4x = 6x
34 + 6x = -11 + 4x + -4x

Combine like terms: 4x + -4x = 0
34 + 6x = -11 + 0
34 + 6x = -11

Add '-34' to each side of the equation.
34 + -34 + 6x = -11 + -34

Combine like terms: 34 + -34 = 0
0 + 6x = -11 + -34
6x = -11 + -34

Combine like terms: -11 + -34 = -45
6x = -45

Divide each side by '6'.
x = -7.5

Simplifying
x = -7.5

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