3(5x-9)+11=-2(-7x-8)+3

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Solution for 3(5x-9)+11=-2(-7x-8)+3 equation:


Simplifying
3(5x + -9) + 11 = -2(-7x + -8) + 3

Reorder the terms:
3(-9 + 5x) + 11 = -2(-7x + -8) + 3
(-9 * 3 + 5x * 3) + 11 = -2(-7x + -8) + 3
(-27 + 15x) + 11 = -2(-7x + -8) + 3

Reorder the terms:
-27 + 11 + 15x = -2(-7x + -8) + 3

Combine like terms: -27 + 11 = -16
-16 + 15x = -2(-7x + -8) + 3

Reorder the terms:
-16 + 15x = -2(-8 + -7x) + 3
-16 + 15x = (-8 * -2 + -7x * -2) + 3
-16 + 15x = (16 + 14x) + 3

Reorder the terms:
-16 + 15x = 16 + 3 + 14x

Combine like terms: 16 + 3 = 19
-16 + 15x = 19 + 14x

Solving
-16 + 15x = 19 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-16 + 15x + -14x = 19 + 14x + -14x

Combine like terms: 15x + -14x = 1x
-16 + 1x = 19 + 14x + -14x

Combine like terms: 14x + -14x = 0
-16 + 1x = 19 + 0
-16 + 1x = 19

Add '16' to each side of the equation.
-16 + 16 + 1x = 19 + 16

Combine like terms: -16 + 16 = 0
0 + 1x = 19 + 16
1x = 19 + 16

Combine like terms: 19 + 16 = 35
1x = 35

Divide each side by '1'.
x = 35

Simplifying
x = 35

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