(5-3x)(3)+4(x-7)=15x+37

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Solution for (5-3x)(3)+4(x-7)=15x+37 equation:


Simplifying
(5 + -3x)(3) + 4(x + -7) = 15x + 37

Reorder the terms for easier multiplication:
3(5 + -3x) + 4(x + -7) = 15x + 37
(5 * 3 + -3x * 3) + 4(x + -7) = 15x + 37
(15 + -9x) + 4(x + -7) = 15x + 37

Reorder the terms:
15 + -9x + 4(-7 + x) = 15x + 37
15 + -9x + (-7 * 4 + x * 4) = 15x + 37
15 + -9x + (-28 + 4x) = 15x + 37

Reorder the terms:
15 + -28 + -9x + 4x = 15x + 37

Combine like terms: 15 + -28 = -13
-13 + -9x + 4x = 15x + 37

Combine like terms: -9x + 4x = -5x
-13 + -5x = 15x + 37

Reorder the terms:
-13 + -5x = 37 + 15x

Solving
-13 + -5x = 37 + 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.
-13 + -5x + -15x = 37 + 15x + -15x

Combine like terms: -5x + -15x = -20x
-13 + -20x = 37 + 15x + -15x

Combine like terms: 15x + -15x = 0
-13 + -20x = 37 + 0
-13 + -20x = 37

Add '13' to each side of the equation.
-13 + 13 + -20x = 37 + 13

Combine like terms: -13 + 13 = 0
0 + -20x = 37 + 13
-20x = 37 + 13

Combine like terms: 37 + 13 = 50
-20x = 50

Divide each side by '-20'.
x = -2.5

Simplifying
x = -2.5

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