5(3x-7)-2(x+1)=15x

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Solution for 5(3x-7)-2(x+1)=15x equation:


Simplifying
5(3x + -7) + -2(x + 1) = 15x

Reorder the terms:
5(-7 + 3x) + -2(x + 1) = 15x
(-7 * 5 + 3x * 5) + -2(x + 1) = 15x
(-35 + 15x) + -2(x + 1) = 15x

Reorder the terms:
-35 + 15x + -2(1 + x) = 15x
-35 + 15x + (1 * -2 + x * -2) = 15x
-35 + 15x + (-2 + -2x) = 15x

Reorder the terms:
-35 + -2 + 15x + -2x = 15x

Combine like terms: -35 + -2 = -37
-37 + 15x + -2x = 15x

Combine like terms: 15x + -2x = 13x
-37 + 13x = 15x

Solving
-37 + 13x = 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-37 + 13x + -15x = 15x + -15x

Combine like terms: 13x + -15x = -2x
-37 + -2x = 15x + -15x

Combine like terms: 15x + -15x = 0
-37 + -2x = 0

Add '37' to each side of the equation.
-37 + 37 + -2x = 0 + 37

Combine like terms: -37 + 37 = 0
0 + -2x = 0 + 37
-2x = 0 + 37

Combine like terms: 0 + 37 = 37
-2x = 37

Divide each side by '-2'.
x = -18.5

Simplifying
x = -18.5

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