2(x-5)+3=15(x+2)-37

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Solution for 2(x-5)+3=15(x+2)-37 equation: 


Simplifying
2(x + -5) + 3 = 15(x + 2) + -37

Reorder the terms:
2(-5 + x) + 3 = 15(x + 2) + -37
(-5 * 2 + x * 2) + 3 = 15(x + 2) + -37
(-10 + 2x) + 3 = 15(x + 2) + -37

Reorder the terms:
-10 + 3 + 2x = 15(x + 2) + -37

Combine like terms: -10 + 3 = -7
-7 + 2x = 15(x + 2) + -37

Reorder the terms:
-7 + 2x = 15(2 + x) + -37
-7 + 2x = (2 * 15 + x * 15) + -37
-7 + 2x = (30 + 15x) + -37

Reorder the terms:
-7 + 2x = 30 + -37 + 15x

Combine like terms: 30 + -37 = -7
-7 + 2x = -7 + 15x

Add '7' to each side of the equation.
-7 + 7 + 2x = -7 + 7 + 15x

Combine like terms: -7 + 7 = 0
0 + 2x = -7 + 7 + 15x
2x = -7 + 7 + 15x

Combine like terms: -7 + 7 = 0
2x = 0 + 15x
2x = 15x

Solving
2x = 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.
2x + -15x = 15x + -15x

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

Combine like terms: 15x + -15x = 0
-13x = 0

Divide each side by '-13'.
x = 0

Simplifying
x = 0

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