5(2+5)-3(3x+2)=-5(x-6)+2

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Solution for 5(2+5)-3(3x+2)=-5(x-6)+2 equation:


Simplifying
5(2 + 5) + -3(3x + 2) = -5(x + -6) + 2

Combine like terms: 2 + 5 = 7
5(7) + -3(3x + 2) = -5(x + -6) + 2

Multiply 5 * 7
35 + -3(3x + 2) = -5(x + -6) + 2

Reorder the terms:
35 + -3(2 + 3x) = -5(x + -6) + 2
35 + (2 * -3 + 3x * -3) = -5(x + -6) + 2
35 + (-6 + -9x) = -5(x + -6) + 2

Combine like terms: 35 + -6 = 29
29 + -9x = -5(x + -6) + 2

Reorder the terms:
29 + -9x = -5(-6 + x) + 2
29 + -9x = (-6 * -5 + x * -5) + 2
29 + -9x = (30 + -5x) + 2

Reorder the terms:
29 + -9x = 30 + 2 + -5x

Combine like terms: 30 + 2 = 32
29 + -9x = 32 + -5x

Solving
29 + -9x = 32 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
29 + -9x + 5x = 32 + -5x + 5x

Combine like terms: -9x + 5x = -4x
29 + -4x = 32 + -5x + 5x

Combine like terms: -5x + 5x = 0
29 + -4x = 32 + 0
29 + -4x = 32

Add '-29' to each side of the equation.
29 + -29 + -4x = 32 + -29

Combine like terms: 29 + -29 = 0
0 + -4x = 32 + -29
-4x = 32 + -29

Combine like terms: 32 + -29 = 3
-4x = 3

Divide each side by '-4'.
x = -0.75

Simplifying
x = -0.75

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