4(17x-6)+2=2(8x-16)-13

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Solution for 4(17x-6)+2=2(8x-16)-13 equation:


Simplifying
4(17x + -6) + 2 = 2(8x + -16) + -13

Reorder the terms:
4(-6 + 17x) + 2 = 2(8x + -16) + -13
(-6 * 4 + 17x * 4) + 2 = 2(8x + -16) + -13
(-24 + 68x) + 2 = 2(8x + -16) + -13

Reorder the terms:
-24 + 2 + 68x = 2(8x + -16) + -13

Combine like terms: -24 + 2 = -22
-22 + 68x = 2(8x + -16) + -13

Reorder the terms:
-22 + 68x = 2(-16 + 8x) + -13
-22 + 68x = (-16 * 2 + 8x * 2) + -13
-22 + 68x = (-32 + 16x) + -13

Reorder the terms:
-22 + 68x = -32 + -13 + 16x

Combine like terms: -32 + -13 = -45
-22 + 68x = -45 + 16x

Solving
-22 + 68x = -45 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-22 + 68x + -16x = -45 + 16x + -16x

Combine like terms: 68x + -16x = 52x
-22 + 52x = -45 + 16x + -16x

Combine like terms: 16x + -16x = 0
-22 + 52x = -45 + 0
-22 + 52x = -45

Add '22' to each side of the equation.
-22 + 22 + 52x = -45 + 22

Combine like terms: -22 + 22 = 0
0 + 52x = -45 + 22
52x = -45 + 22

Combine like terms: -45 + 22 = -23
52x = -23

Divide each side by '52'.
x = -0.4423076923

Simplifying
x = -0.4423076923

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