5(3x-2)=4(x-5)+7

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Solution for 5(3x-2)=4(x-5)+7 equation:


Simplifying
5(3x + -2) = 4(x + -5) + 7

Reorder the terms:
5(-2 + 3x) = 4(x + -5) + 7
(-2 * 5 + 3x * 5) = 4(x + -5) + 7
(-10 + 15x) = 4(x + -5) + 7

Reorder the terms:
-10 + 15x = 4(-5 + x) + 7
-10 + 15x = (-5 * 4 + x * 4) + 7
-10 + 15x = (-20 + 4x) + 7

Reorder the terms:
-10 + 15x = -20 + 7 + 4x

Combine like terms: -20 + 7 = -13
-10 + 15x = -13 + 4x

Solving
-10 + 15x = -13 + 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.
-10 + 15x + -4x = -13 + 4x + -4x

Combine like terms: 15x + -4x = 11x
-10 + 11x = -13 + 4x + -4x

Combine like terms: 4x + -4x = 0
-10 + 11x = -13 + 0
-10 + 11x = -13

Add '10' to each side of the equation.
-10 + 10 + 11x = -13 + 10

Combine like terms: -10 + 10 = 0
0 + 11x = -13 + 10
11x = -13 + 10

Combine like terms: -13 + 10 = -3
11x = -3

Divide each side by '11'.
x = -0.2727272727

Simplifying
x = -0.2727272727

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