5(x-2)+3x-7=11-(-4)

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Solution for 5(x-2)+3x-7=11-(-4) equation:


Simplifying
5(x + -2) + 3x + -7 = 11 + -1(-4)

Reorder the terms:
5(-2 + x) + 3x + -7 = 11 + -1(-4)
(-2 * 5 + x * 5) + 3x + -7 = 11 + -1(-4)
(-10 + 5x) + 3x + -7 = 11 + -1(-4)

Reorder the terms:
-10 + -7 + 5x + 3x = 11 + -1(-4)

Combine like terms: -10 + -7 = -17
-17 + 5x + 3x = 11 + -1(-4)

Combine like terms: 5x + 3x = 8x
-17 + 8x = 11 + -1(-4)

Multiply -1 * -4
-17 + 8x = 11 + 4

Combine like terms: 11 + 4 = 15
-17 + 8x = 15

Solving
-17 + 8x = 15

Solving for variable 'x'.

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

Add '17' to each side of the equation.
-17 + 17 + 8x = 15 + 17

Combine like terms: -17 + 17 = 0
0 + 8x = 15 + 17
8x = 15 + 17

Combine like terms: 15 + 17 = 32
8x = 32

Divide each side by '8'.
x = 4

Simplifying
x = 4

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